Nicholas found the 13th term of the geometric sequence 15, 30, 60, 120 the following way:
A(13) = 15 * 213
A(13) = 15 * 8,192
A(13) = 122,880

Is Nicolas correct? Why or why not? (Make sure to justify your answer) If Nicolas is incorrect please state the correct solution.

Nicholas Found The 13th Term Of The Geometric Sequence 15, 30, 60, 120 The Following Way:A(13) = 15 *

Answers

Answer 1

Answer: No. Nicolas is wrong.

Step-by-step explanation:

The formula for calculating nth term of a geometric sequence is given as:

= ar^n-1.

where a = first term = 15

r = common ratio = 30/15 = 2

n = 13

Using the formula,

= ar^n-1

= 15 × 2^(13-1)

= 15 × 2^12

= 15 × 4096

= 61440

The 13th term is 61440. Nicolas is wrong.


Related Questions

Please help!!!!!!!! #1

Answers

Answer:

its d , because your distributing the 5 into what's in the parenthesis .

which number in scientific notation represents 9,832,000?

Answers

9.832*10^6 is the scientific notation

help please brainliest if correct

Answers

Answer is d>-9
Answer is open circle to the right(o—>)

8. Find the quotient: 575 ÷ 2.5=________.

9. What is 319 divided by 14.5?________

10. What is the quotient when you divide 641.97 by 21?_________​

Answers

Answer:

8. 230

9. 22

10. 30.57

8. 230

9. 22

10. 30.57

Hope this helps!

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

f(x) = 2.25x + 5
f(x) = 5x + 2.25
f(x) = 2.25x − 5
f(x) = 5x − 2.25

Answers

it’s the first one f(x)=2.25x+5

Answer:

A. f(x) = 2.25x + 5

Step-by-step explanation:

did it on edge 2020

In order to write an equation in point-slope form, you need the point and a slope.
Group of answer choices

True

False

Answers

Answer:

true

Step-by-step explanation:

The answer would be true

When Makayla moved into a new house, she planted two trees in her backyard. At the
time of planting, Tree A was 19 inches tall and Tree B was 35 inches tall. Each year
thereafter, Tree A grew by 6 inches per year and Tree B grew by 2 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree B t years after being planted. Write an equation for each situation, in
terms of t, and determine the number of years after the trees were planted when both
trees have an equal height.

Answers

Answer:A=6t+29

B=3t+35

Same height in 4 years

Step-by-step explanation:

Answer:

A=6t+19

B=2t+35

4 years

Step-by-step explanation:

A-

The tree Orginal Length- 19 inches

Rate the tree grew every year- 6 inches per year

Equation- 6t+19

B-

The tree Orginal Length- 35 inches

Rate the tree grew every year- 2 inches per year

Equation- 2t+35

6(4)+19

24+19

43

2(4)+35

8+35

43

What is the equation of the quadratic function represented by this graph?
+10
+5
-10
-5
5
10
-5
.-10

Answers

can you put a picture of the graph please

On a spelling quiz, Lily got 16 out of 20 questions correct. Select all the expressions that show the ratio of Lily’s correct answers to incorrect answers.

Answers

Where’s the options?

Answer:

ACD

Step-by-step explanation:

VNQLW3M2L,Q;KJ52KQ

2 (9r + 3) 77 > 10r
10r - (12r +9 )

Answers

Answer:

Your answer is: ↓

[tex]2 (9r + 3) 77 > 10r[/tex]        =         [tex]2=\\9r+3=9r+3\\77>10r=9r+3[/tex]

[tex]10r-(12r+9)\\=2r-9\\[/tex]

If you are trying to solve those equations at one time your answer is: ↓

[tex]2(9r+3)77>10r\\10r-(12r+9)[/tex]         =          [tex]2=\\9r+3=9r+3\\77>10r=9r+3\\10r-(12r+9)=-2r-9[/tex]

Step-by-step explanation:

Hope this helped : )

Each angle of the equilateral triangle in the figure has measure (2x – 9)°. Determine the value of x.

A) x = 25.5
B) x = 34.5
C) x = 69
D) x = 60

Answers

Answer:

34.5

Step-by-step explanation:

An easy way to find this out is plug in all the answers into our equation until we get 180. So here's what you do:

A) X=25.5

So put that in the equation replacing x like this :  2(25.5)-9 =42 then multiply by three which = 126, So, A) is not our answer, now do it with the rest until you get 180,

2(34.5)-9=60 60x3=180 so your answer will be the number you plug in aka:34.5

Hope this helps you understand the topic a little better <3

What is a single equivalent percentage change for a 40% decrease followed by a 20% decrease

Answers

Answer:

200

Step-by-step explanation:

Let F = (2, 3). Find coordinates for three points that are equidistant from F and the y-axis. Write an equation that says P = (x, y) is equidistant from F and the y-axis

Answers

Answer:

The equation that says P is equidistant from F and the y-axis is [tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex].

(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.

Step-by-step explanation:

Let [tex]F(x,y) = (2,3)[/tex] and [tex]R(x,y) =(0, y')[/tex], where [tex]P(x,y)[/tex] is a point that is equidistant from F and the y-axis. The following vectorial expression must be satisfied to get the location of that point:

[tex]F(x,y)-P(x,y) = P(x,y)-R(x,y)[/tex]

[tex]2\cdot P(x,y) = F(x,y)+R(x,y)[/tex]

[tex]P(x,y) = \frac{1}{2}\cdot F(x,y)+\frac{1}{2} \cdot R(x,y)[/tex] (1)

If we know that [tex]F(x,y) = (2,3)[/tex] and [tex]R(x,y) = (0,y')[/tex], then the resulting vectorial equation is:

[tex]P(x,y) = \left(1,\frac{3}{2} \right)+\left(0, \frac{y'}{2}\right)[/tex]

[tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex]

The equation that says P is equidistant from F and the y-axis is [tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex].

If we know that [tex]y_{1}' = -3[/tex], [tex]y_{2}' = 0[/tex] and [tex]y_{3}' = 3[/tex], then the coordinates for three points that are equidistant from F and the y-axis:

[tex]P_{1}(x,y) = \left(1,\frac{3+y_{1}'}{2} \right)[/tex]

[tex]P_{1}(x,y) = (1,0)[/tex]

[tex]P_{2}(x,y) = \left(1,\frac{3+y_{2}'}{2} \right)[/tex]

[tex]P_{2}(x,y) = \left(1,\frac{3}{2} \right)[/tex]

[tex]P_{3}(x,y) = \left(1,\frac{3+y_{3}'}{2} \right)[/tex]

[tex]P_{3}(x,y) = \left(1,6 \right)[/tex]

(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.

Jane is a cliff diver and she is planning on jumping from a height of 747 feet and landing in the water below. She will end her dive 64 feet below sea level. What is the difference in height between her starting and ending points?

Answers

Answer:

811 feet

Step-by-step explanation:

When finding height difference, you use absolute value, so everything is positive. 747+64 = 811, so your answer is 811 feet.

Hope this helps!

Answer:

811ft

Step-by-step explanation:

Add 747+64 not negative positive

Last year the backgammon club had 30
members. This year the club has 24
members. Determine the percent of
decrease in the number of members.

Answers

Answer:

80%

Step-by-step explanation:

a sofa set was bought for rs.9000and sold at a loss of 25 percent . what was the selling price ?
chapter in maths is comparing quantities
need answer fast pls help . will give full stars !

Answers

Answer:

selling price was 6750

Step-by-step explanation:

9000 x 0.25 = 2250

9000 - 2250 = 6750

Answer:

=rs. 6750

Step-by-step explanation:

marked price=     9000   =       100%

selling price=          ?        =       75%

loss=                        ?        =        25%

as he made a loss it means that he sold the sofa for a lower price hence the selling price will be lower than the marked price.

selling price = if  100% = 9000

        what about    75%?

   75% x 9000

        100%

=rs.6750            

use the long division algorithm to find the decimal value of -3/4.need help please answer.​

Answers

Answer:

-0.75

Step-by-step explanation:

FOR 15 POINTS
The value of 0.01 gram is equivalent to which of the following?
1 centigram
1 kilogram
1 milligram
1 hectogram

Answers

Answer:

1 kilogram

Step-by-step explanation:

have a great day!!!:)

FACTORIZE
A(X)=(2+3x)(-x+7)(-2+3x)(2x+1)​

Answers

Answer:

[tex] - 18 {x}^{4} + 117 {x}^{3} + 71 {x}^{2} - 52x - 28 [/tex]

ans

A tire in Abduls car has just sprung a leak and is losing pressure at a rate of 5% every hour. If the tire pressure is currently 280 kilopascal, what will it be in 18 hours? If necessary round your answer to the nearest tenth

Answers

If it decreases at a rate of 5% every hour and you wanna know how much it decreases in 18 hours, multiply .05 by 18

.05•18=.9

Multiply 280, your initial number, by .9

280•.9=252

In 18 hours, the tire pressure will be 252 kPa

What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
Give your answer rounded to 2 DP. plse be QUICK

Answers

Answer:

1135.38

Step-by-step explanation:

Original amount  = 1015;

First decrease = 6%

Followed by an increase  = 19%

Unknown:

Final amount:

Solution:

If 100% of a value implies multiplying by 1;

        6% decrease  = 0.94

        19% increase  = 1.19

Now;

Final amount  = 1015 x 0.94 x 1.19  = 1135.38

Are the fractions equivalent?
1. 15/60=3/4
2. 2/5=24/144
3. 15/20=3/5

Answers

Answer:

nope

Step-by-step explanation:

15/60 = 3/12

2/5 = 24/60

15/20 = 3/4

Answer:

No

Step-by-step explanation:

None of these fractions are equivalent because of you simplify them you wouldn't get the same number.

marking brainless!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Sarah and her friends picked 3 3/4 pints of blueberries. After they ate some of the blueberries, only 2 1/3 pints remained.

How many pints of blueberries did Sarah and her friends eat?

Enter your answer, as a mixed number in simplest form, in the box.

Answers

Answer:

1 5/12

Step-by-step explanation:

subtract 3 3/4 - 2 1/3 and you get 1 5/12

Answer:

17/12

Step-by-step explanation:

I turned the two fractions into improper fractions and made them have the same denominators. Then I subtracted.

What is similar about the Hebrew Bible and the Epic of Gilgamesh?

Both books believed in many gods.
Both books were used by the Israelites.
Both books were originally written on papyrus.
Both books use stories as guidance to life.

Answers

Answer:

Both books use stories as guidance to life.

Step-by-step explanation:

The Hebrew Bible teaches that there is one God.

The Epic of Gilgamesh did not originate from the Israelites. It was ancient Mesopotamian.

The Epic of Gilgamesh was not written on papyrus

Therefore the only answer that it can me is the final one.

Answer:

D                   ☝

Step-by-step explanation:

Both books was used as a guidance of life and their beliefs.

Hope this helps!

Find the missing length of C given the polygons are similar figures.

Answers

The second trapezoid is dilated by 1/4 because 4.5 is a fourth of 18. So to find length C multiply 2 (it’s dilated side) by 4.

2x4=8

The length of C is 8m

Hope this helps you!

An airplane flies from New Orleans Atlanta Georgia and an average of the airplane then returns on average rate of 280 mph travel time is three hours

Answers

Answer:

and ? what is the question

Step-by-step explanation:

The ratio of y to x is 21 to 7. If x is 10, what is the value of y?
A)3
B) 30
C) 70
D) 210

Answers

Answer:

The answer is 30, or B. If you neee an explanation let me know

Answer:

B

Step-by-step explanation:

This is because Y is exactly 3 times the amount of x so 10x3= 30

daniel watched a beetle and a spider on the sidewalk. the beetle crawled 1/2 of a yard and the spider crawled 1/6 of a yard how much farther did the beetle crawl than the spider

Answers

Answer:

2 yards

Step-by-step explanation:

The beetle crawled 3 times more than the spider crawled.


What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that daniel watched a beetle and a spider on the sidewalk. the beetle crawled 1/2 of a yard and the spider crawled 1/6 of a yard.

The beetle crawled how many times is calculated as:-

Beetle crawled  = ( 1 / 2 ) ÷ (1 / 6) x Spider crawled

Beetle crawled = 3 x Spider crawled

Therefore, the beetle crawled 3 times more than the spider crawled.

To know more about an expression follow

https://brainly.com/question/23991488

#SPJ6

n is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.

Answers

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

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