Find the next three numbers in the pattern: 1, 4, 9, 16, 25, 36, ...

Find The Next Three Numbers In The Pattern: 1, 4, 9, 16, 25, 36, ...

Answers

Answer 1
Judging by the way the pattern goes,
1+3=4
4+5=9
9+7=16
16+9=25
25+11=36

Then the next 3 numbers would be: 
36+13= 49
49+15=64
64+17=81

The next three numbers are 49, 64 and 81

The pattern is adding 2 to each number. So 3 is added to 1 to make 4. The next number added to 4 would be 5, so on so forth. 
Answer 2

Answer: 49, 64, and 81

Step-by-step explanation: To find the next three terms in this pattern, begin by studying the pattern.

Notice that the difference between 1 and 4 is positive 3, the difference between 4 and 9 is positive 5, the difference between 9 and 16 is positive 7, the difference between 16 and 25 is positive 9, and the difference between 25 and 36 is positive 11.

Since the differences are increasing by 2 each time, we can find the next term in the pattern by adding 36 + 13 to get 49. Next, we will add 49 + 15 to get 64. Then, we will add 64 + 17 to get 81.

Thus, the next three terms in the pattern are 49, 64, and 81.


Related Questions

Use doubles minus one to solve 8+7. Write the number sentence

Answers

Answer:

8+8-1 = 15

Step-by-step explanation:

The doubles minus one is the technique to add two numbers which are consecutive.In this technique you add double the greatest number of the two consecutive and then subtract 1 from the result.

Here we have equation 8+7.

so doubling the greater number (8+8) or (8*2)  gives us 16.

then subtracting 1 from it (16-1) gives us 15

so 15 is our answer.


Using the doubles minus one strategy, the greater value of the expression is doubled and one subtracted from the sum. Hence, we have 8 + 8 - 1 = 15

Given the expression :

8 + 7

The greater value of the two digits is 8

Doubling the greater value : 8 + 8

Subtracting 1 from the sum of the doubled digit :

8 + 8 - 1 = 8 - 7 = 15

Therefore, the result of the expression is 15

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Find the greatest common factor of 27 and 63

Answers

The common factor would be 33
The Greatest Common Factor (GCF) of some numbers, is the largest number that divides evenly into all of the numbers.

For 27 and 63 that number is 9.

Suppose a camping tent has a center pole that is 6 feet high. If the sides of the tent make 40° angles with the ground, how wide, in feet, is the tent?

Answers

x = half width of tent
Tan(40) = 6/x
x = 6/Tan(40) = 7.15
2x = 14.30 feet the width of the tent

A container holds 3 quarts of lemonade. How much is this in cups? Use the table below. Include the correct unit in your answer.

Answers

Since there are 4 cups in a quart, then this is 12 cups.

To find out how many cups are in 3 quarts of lemonade, you multiply the number of quarts (3) by the conversion factor of 4 cups per quart, giving you 12 cups of lemonade.

To answer the question, 3 quarts of lemonade is equivalent to how many cups, we will need to use the conversion between quarts and cups. In the United States customary system, 1 quart is equal to 4 cups. Therefore, to convert quarts to cups, you would multiply the number of quarts by 4.

To solve:

Multiply the number of quarts by 4 to convert to cups.
3 quarts  x 4 cups/quart = 12 cups

Thus, 3 quarts of lemonade is equivalent to 12 cups of lemonade.

roland sold 26 candy bars during the first week. the number of candy bars he sold during the second week was 4 less than 2 times the number of candy bars he sold during the first week. the number of candy bars he sold during the third week was 6 more than 1 1/2 times the number of candy bars he sold during the second week. what was the total number of candy bars roland sold during the three weeks?

Answers

The number of candy bars Roland sold during the three weeks will be 152.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Roland sold 26 candy bars during the first week.

The number of treats he sold during the subsequent week was 4 under twice the quantity of pieces of candy he sold during the principal week.

Then the number of candies sold in the second week will be calculated as,

⇒ 2 x 26 - 4

⇒ 48

The number of sweet treats he sold during the third week was 6 a greater number than 1 ¹/₂ time the number of pieces of candy he sold during the subsequent week. Then the number of candies sold in third week will be given as,

⇒ 48 x (1 ¹/₂) + 6

⇒ 48 x 1.5 + 6

⇒ 72 + 6

⇒ 78

The total candies are calculated as,

⇒ 26 + 48 + 78

⇒ 152

The number of candy bars Roland sold during the three weeks will be 152.

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Yara multiplies and divides a certain number by the same power of 10. The product she gets is 40,000 and the quotient she gets is 0.000004. Find yara’s Number and the power of 10 she used. Explain your reasoning

Answers

40,000 = 4 * 10^4
0.000004 = 4 * 10^-6
The power of 10 exactly in between 4 and -6 is -1.

She started with 4 * 10^(-1) which is 0.4.
0.4 * 100,000 = 40,000
0.4/100,000 = 0.000004

The number she started with is 0.4.
The power is 10^5.

The power of 10 she used will be 10⁵.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Yara multiplies and divides a certain number by the same power of 10. The product she gets is 40,000 and the quotient she gets is 0.000004.

40,000 = 4 x 10⁴

0.000004 = 4 x 10⁻⁶

The power of 10 exactly in between 4 and -6 is -1.

She started with 4 x 10⁻¹ which is 0.4.

0.4 x 100,000 = 40,000

0.4/100,000 = 0.000004

The number she started with is 0.4.

The power is 10⁵.

The power of 10 she used will be 10⁵.

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Identify the contrapositive of the following statement. If x = 2, then x + 3 = 5.

a) If x + 3 = 5, then x = 2.
b) If x + 3 ≠ 5, then x ≠ 2.
c) If x ≠ 2, then x + 3 ≠ 5.
d) x = 2 and x + 3 = 5.

Answers

Answer:

If x + 3 ≠ 5, then x ≠ 2 thus b: is your Answer

Step-by-step explanation:

Final answer:

The correct contrapositive of the statement "If x = 2, then x + 3 = 5" is: If x ≠ 2, then x + 3 ≠ 5.

Explanation:

The contrapositive of the statement "If x = 2, then x + 3 = 5" can be found by negating the statement and switching the hypothesis and conclusion. The negation of "x = 2" is "x ≠ 2" and the negation of "x + 3 = 5" is "x + 3 ≠ 5".

Therefore, the contrapositive of the statement is: If x ≠ 2, then x + 3 ≠ 5. Option (c) represents the correct contrapositive of the statement.

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What is .. 3i ( 6 - 5i )

Answers

The answer is -3i

3i times 6 is 12i

3i times 5i is 15i

so the answer is -3i

Two cards are drawn at random from a standard deck of 52 cards. what is the probability that both cards are aces

Answers

It is not indicated whether the first card is replaced before the second is taken... Let's consider both cases.
P
r
o
b
=
number of desirable outcomes
total number of possible outcomes
There are 4 aces in a deck of cards which has 52 cards in total.
If the first card is NOT replaced:
P (Ace, Ace) =
4
52
×
3
51
=
1
221
(The number of aces remaining is 1 less, and there is 1 less card to choose from.)
If the first card IS replaced , then the probability of drawing an ace stays the same every time a card is chosen:
P (Ace, Ace) =
4
52
×
4
52
=
1
169
Note: A probability should be given as a fraction, in the simplest form.
It is always a value from 0 to 1
0

(the outcome is impossible)
1

(the outcome is guaranteed)

Answer:

1/221

Step-by-step explanation:

got it right on edge :)

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 5 x + y = 7

Answers

on a graph they never have a point where the two lines meet
x+y=5 and x+y=7
the solution set is where they intersect

if we graph them, we see they are paralell and will never intersect
so there are no points at which they intersect

the solution set is the empty set.

How do I find the value of z?

Answers

Hello!

The answer is z = 16..

Solve it like this..

#1) Regroup terms

-3 = -7+z/4 ---> -3 = z/4 - 7

#2) Add 7 to both sides.

-3 = z/4 - 7 ---> -3 + 7 = z/4

#3) Do the addition.

-3 + 7 = z/4 ---> 4 = z/4

#4) Multiply both sides by 4.

4 = z/4 ---> 4 * 4 = z.

#5) Do the multiplication.

4 * 4 = z ---> 16 = z

Hope this helps! ☺♥

how would I do this

Answers

subtract top exponent from bottom. answer is a^2 b^7 c

A classic counting problem is to determine the number of different ways that the letters of "generally""generally" can be arranged. Find that number.

Answers

Final answer:

To determine the number of arrangements for the word 'generally', one calculates 9 factorial divided by the factorial of the counts of each repeated letter. With 'E' and 'L' repeating twice each, the calculation is 9! / (2! × 2!) resulting in 90720 unique arrangements.

Explanation:

Calculating Arrangements of the Word 'GENERALLY'

To calculate the number of different ways the letters in the word 'generally' can be arranged, we have to take into account the repeated letters. The word 'generally' has 9 letters with the following repetitions: G-1, E-2, N-1, R-1, A-1, L-2, and Y-1. The formula to calculate the permutations of a set of objects where there are duplicates is the factorial of the number of objects divided by the product of the factorials of the number of duplicates for each object.

Thus, to find the number of arrangements, we would calculate 9! (9 factorial) and then divide it by the product of the factorials of the repeated letters, which are E and L. This gives us 9! / (2! × 2!), or 362880 / (2 × 2), which simplifies to 90720 unique arrangements for the letters in 'generally'.

This combinatorial approach is a useful exercise in understanding how to count arrangements and can be applied more broadly to comprehend more intricate probability and statistics problems

What is the approximate length of the midsegment parallel to BC. the coordinates are B(-6,1) C(5,-1) ? please help

Answers

I think it would be around 5 1/2 approximately

Step-by-step explanation:

Let the mid-point of BC is M. So, the length of BM = MC.

The coordinates of B are (-6, 1) and coordinates of C are (5, -1). Therefore, using the distance formula find the distance as follows.

            d = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]

Place the values form points B and C into the above formula as follows.

         d = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]

            = [tex]\sqrt{(5- (-6))^{2} + ((-1)- (1))^{2}}[/tex]

            = [tex]\sqrt{(11)^{2} + (-2)^{2}}[/tex]

            = [tex]\sqrt{121 + 4}[/tex]

            = [tex]\sqrt{125}[/tex]

            = 11.18 (approx)

Therefore, the length of mid-point of line segment will be [tex]\frac{11.18}{2}[/tex] = 5.59 (approx). BM = MC = 5.59.

The length of line segment which is parallel to BC = [tex]\frac{d}{2}[/tex].


Please help me with these questions (: Ty
1.) Multiply.

1.25(−3.6)

Enter your answer as a decimal in the box.

2.) Divide.

−1/9÷3/4

A.)−4 2/7

B.)−1 1/2

C.)1 1/2

D.)4 2/7

Ty <3

Answers

1 = -4.5
2 = a
it's making me put 20 characters to answer this so ignore all this nonsense

What is the slope of this lines passing through (-8,2) (0,2), (7,2)

Answers

Well the slope would be 0 because the y doesn't change. So if y is same it is 0, if x remains the same Slope is undefined, and then there is normal slope.

Will is w years old.
Ben is e years older.
Jan is twice as old as Ben.
Write an expression, in terms of w, for Jan’s age.

Answers

Ben = e
Jan = 2e

2e = w  (not will)

A line with a slope of 1/2 passes through the point 2,-1 what is the equation of this line

Answers

I read the comments you said you want the definition for linear equation here it is an equation between two variables that gives a straight line when plotted on a graph.

The equation of the line is [tex]\( y = \frac{1}{2}x - 2 \)[/tex].

To find the equation of a line with a given slope passing through a specific point, you can use the point-slope form of a linear equation: [tex]\( y - y_1 = m(x - x_1) \)[/tex], where ( m ) is the slope and [tex]\( (x_1, y_1) \)[/tex] is the given point.

Given that the slope [tex]\( m = \frac{1}{2} \)[/tex] and the point ( (2, -1) ), we substitute these values into the point-slope form:

[tex]\( y - (-1) = \frac{1}{2}(x - 2) \)[/tex]

This simplifies to:

[tex]\( y + 1 = \frac{1}{2}(x - 2) \)[/tex]

To remove the fraction, distribute [tex]\( \frac{1}{2} \)[/tex]:

[tex]\( y + 1 = \frac{1}{2}x - 1 \)[/tex]

Now, isolate ( y ) by subtracting 1 from both sides:

[tex]\( y = \frac{1}{2}x - 1 - 1 \)[/tex]

[tex]\( y = \frac{1}{2}x - 2 \)[/tex]

So, the equation of the line is [tex]\( y = \frac{1}{2}x - 2 \)[/tex].

What value should go in the empty box to complete the calculation for finding the product?
of 23.456 × 0.86?

Answers

1,576,480
1,623,392
1,876,480
1,923,392

Answers

I think it's 1,876,480 but I'm not sure

Answer:

the answer is 1,876,480

Step-by-step explanation:


Holly missed 8 of 182 school days this year. Approximately what percent of school days was Holly in attendance?

Answers

Answer:

Wrong it is

Step-by-step explanation:

First, determine how many school days Holly attended.

182 - 7 = 175

Next, find the percentage of school days she attended.

175 ÷ 182 = 0.9615384615  96%

Holly attended approximately 96% of school days.

To calculate the percentage of school days Holly was in attendance, subtract the days missed from the total days and divide by the total days, then multiply by 100.

Holly missed 8 out of 182 school days this year. To find the percentage of days she was present, subtract the days missed from total days and divide by total days, then multiply by 100.

Days attended = 182 - 8 = 174Percentage attended = (174/182) * 100 ≈ 95.60%

A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar. At this rate, how many cups of sugar should be used if 5 cups of flour is included?

Answers

5 = 2/3 + 2/3 + 1/3
5 = 1 2/3

The number of the cups of sugar required for 5 cups of flour will be 5/3 cups.

What is ratio and proportions?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

A recipe for sugar cookies requires 2 cups of flour for every 2/3 cup of sugar.

To Find: at this rate how many cups of sugar should we use if 5 cups of flour is included.

For recipe of Sugar cookie =

Sugar required for  cups of flour= [tex]\dfrac{2}{3}\ cup[/tex]

Sugar required for cup of flour= [tex]\dfrac{2}{3}\times \dfrac{1}{2}=\dfrac{1}{3}[/tex]

Now,

If 5 cups of flour is included

cups of sugar required

[tex]=5\times Number \ of \ sugar\ cups\ required\ for\ 1\ cup\ of\ flour\\[/tex]

[tex]=5\times \dfrac{1}{3}=\dfrac{5}{3}\ cups[/tex]              

Hence 5/3 cups  should be used if 5 cups of flour is included

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2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b

Answers

2/5, a, and b is the answer

Help me solve this problem!!PLEASE help I need this answer and I need to know how to solve this by today!!

livia wants to purchase a pair of shoes for $50.She also wants to huy some socks that cost $2.20 each.She only has $64.00 to spend.How many pairs of socks can she buy along with the shoes?


Ps:please tell me how you how you got it showing your work! Please thank you so much I need this answer ASAP

Answers

she wants to purchase shoes that cost $ 50
she wants to purchase socks that cost 2.20 each......so the expression for this is 2.20s...with s being the number of pairs of socks bought
and she only has $ 64....so she has to spend 64 or less...< = 64

so ur inequality would be :
50 + 2.20s < =  64.....subtract 50 from both sides
2.20s < = 64 - 50
2.20s < = 14...divide both sides by 2.20
s < = 14 / 2.20
s < = 6.36....so she can purchase 6 pairs of socks without going over
Livia has a total budget of $64.00.


Subtract the cost of the socks from the budget.

64 - 50 = 14

Next, divide 14 by 2.20.

14 ÷ 2.20 = 6.36

So, Livia can buy 6 pairs of socks.


I hope that helped! c:

How do I write equivalent ratios

Answers

First you compare two things and for example there are three boys and two girls the ratio would be 3 to 2

I'm offering 20 points, only answer is you're smart

Answers

both angles need to equal 180 degrees

3x+18 +5x+2 =180

8x+20 = 180

8x =160

x = 160/8 = 20

x = 20

It only gives the answerer half the points that you pay, for future reference.

The life expectancy of a typical lightbulb is normally distributed with a mean of 2,000 hours and a standard deviation of 27 hours. What is the probability that a lightbulb will last between 1,975 and 2,050 hours?

A. 0.17619
B. 0.32381
C. 0.79165
D. 0.96784

Answers

0.7916, so it would be c
The first standard deviation covers about 68% of the distribution in a normal curve. (34% higher, 34% lower than the mean). the second standard deviation covers 28% (14% between 1st and 2nd SD above the mean, 14% between 1st and 2nd SD below the mean).  In our case
1 Standard deviation = 27 hours (we will approximate to 25 hours)
Mean = 2,000 

This means that 34% of the distribution is between 1975 and 2000 hours       (within 1 standard deviation below the mean)

2,000- 2,050 covers the range within 50 hours above the mean.
50 hours is roughly 2 standard deviations. The second standard deviation (standard deviation between 1 and 2) covers around 14% on each side of the distribution.
50 hours is roughly 2 standard deviations, which means we add 34% + 14% = 48%. 
The range of 1,975 - 2,050 hours covers 34% of the distribution below the mean and 48% of the distribution above the mean. 
This means that the probability that the light bulb will last somewhere within this range is 34% + 48% = 82%

The closest answer is 79%. The difference can be explained by the fact that, for simplicity, we approximated the standard deviation to be ~25 hours instead of the real standard deviation of 27 hours. 

3(y-2)=18
3y-____=18
3y=____

Answers

Greetings!

3(y-2)=18
Distribute the Parenthesis (3*y+3*-2).
3y-6=18
To Isolate the variable, we have to add/subtract any unlike terms.
3y=24

To solve for y.
[tex]3y=24[/tex]
Divide both sides by 3.
[tex](3y)/3=(24)/3[/tex]
The Answer Is:
[tex]y=8[/tex]

Hope this helps.
-Benjamin

3(y-2)=18
3y-6=18
3y-6+6=18+6( Since 6 is negative and we want to get rid of 6 so we do +6-6        3y=24          which is 0 to get rid of -6 and add +6 to 18 to other side.)

I hope it may help you
thank you.

I need help for number 10 please someone help

Answers

it can be easy to miss, but if you look, it says per month instead of per year.
you then have to convert this to a yearly rate by first multiplying .016 by 12 then proceeding to multiply that answer by 500, then 3
ex. (.016 * 12) * 500 * 3 = 288

find f(-1) for f(x)= 3x^2 + 5x +6

Answers

  The answer is:  "4" .
__________________________________________________
                 "  f(-1) = 4 ."
______________________________________
Explanation:
______________________________________
Given:  " f(x) = 3x² + 5x + 6 " ;

Then plug in "-1" for all values of "x" to find "f(-1)" ;

     →  f(-1)  =  3(-1)²  +  5(-1)  +  6  ;

                  = 3(1)  + (-5) + 6 ;

                  =  3 - 5 + 6 ;

                  =  -2 + 6 = .
__________________________________________________
  The answer is:  "4" .
__________________________________________________
                 "  f(-1) = 4 ."
__________________________________________________

the wind blew away 26 of y out r muffins. That was 2/3 of all of them! With how many did you start?

Answers

26 / 2/3 = 39

 you started with 39 muffins

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