Question 1

Find the sum of  .
If it does not exist, enter "DNE".

Accepted Answer

1200

Question 2

Does the infinite series  converge or diverge?

Accepted Answer

converges

Question 3

Each week, a patient is given a 40 mg dose of an experimental vaccine, and 25% of the vaccine remains in the body after one week. How many milligrams of the vaccine are in the body right after the 15^th dose? Round to 2 decimal places.

Accepted Answer

53.33

Question 4

Is the following a geometric series? Answer "Yes" or "No".
2 + 1.2 + 0.72 + 0.432 + 0.2592 + ...

Accepted Answer

The answer of Is the following a geometric series? Answer...

Question 5

Each quarter, $1000 is deposited into an account earning 1.2% interest per quarter, compounded quarterly. How much money is in the account right before the 11^th deposit? Round to the nearest dollar.

Accepted Answer

The answer of Each quarter, $1000 is deposited into an...

Question 6

Is the following a geometric series? Answer "Yes" or "No".

Accepted Answer

The answer of Is the following a geometric series? Answer...

Question 7

Find the sum of  .
If it does not exist, enter "DNE".

Accepted Answer

The answer of Find the sum of  .
If it...

Question 8

Consider the sum  .
A. Calculate the partial sum  . Round to 4 decimal places.
B. Calculate the infinite sum S. Round to 4 decimal places.

Accepted Answer

The answer of Consider the sum  .
A. Calculate the...

Question 9

A ball is dropped from a height of 10 feet and bounces. Each bounce is 2/3 the height of the bounce before. Find an expression for the height to which the ball rises after it hits the floor for the n^th time, and use it to find the total vertical distance the ball has traveled when it hits the floor for the 4^th time. Round to 2 decimal places.

Accepted Answer

The answer of A ball is dropped from a height...

Question 10

Is the following a geometric series? Answer "Yes" or "No".
3 + 6 + 9 + 12 + 15 + ...

Accepted Answer

The answer of Is the following a geometric series? Answer...

Question 11

Is the following a geometric series? Answer "Yes" or "No".
4 + 1 + 0.25 + 0.0625 + 0.015625 + ...

Accepted Answer

The answer of Is the following a geometric series? Answer...

Question 12

Find the sum  . Round to 2 decimal places.

Accepted Answer

The answer of Find the sum  . Round to...

Question 13

Is the following a geometric series? Answer "Yes" or "No".

Accepted Answer

The answer of Is the following a geometric series? Answer...

Question 14

Which of the following are geometric series? Select all correct answers.

Accepted Answer

The answer of Which of the following are geometric series?...

Question 15

Find  for the series  Round to 3 decimal places.

Accepted Answer

The answer of Find  for the series  Round...

Question 16

Find the sum of  .
If it does not exist, enter "DNE".

Accepted Answer

The answer of Find the sum of  .
If it...

Question 17

Find the sum of the series  . Round to 2 decimal places.

Accepted Answer

The answer of Find the sum of the series ...

Question 18

Is the following a geometric series? Answer "Yes" or "No".
2 + 4 + 8 + 16 + 32 + ...

Accepted Answer

The answer of Is the following a geometric series? Answer...

Question 19

Find the sum of  .
If it does not exist, enter "DNE".

Accepted Answer

The answer of Find the sum of  .
If it...

Question 20

If the sum of the series  is  , what is a?

Accepted Answer

The answer of If the sum of the series ...

Quiz 10: Geometric Series

Find the sum of . If it does not exist, enter "DNE".

Does the infinite series converge or diverge?

Each week, a patient is given a 40 mg dose of an experimental vaccine, and 25% of the vaccine remains in the body after one week. How many milligrams of the vaccine are in the body right after the 15th dose? Round to 2 decimal places.

Is the following a geometric series? Answer "Yes" or "No". 2 + 1.2 + 0.72 + 0.432 + 0.2592 + ...

Each quarter, $1000 is deposited into an account earning 1.2% interest per quarter, compounded quarterly. How much money is in the account right before the 11th deposit? Round to the nearest dollar.

Is the following a geometric series? Answer "Yes" or "No".

Find the sum of . If it does not exist, enter "DNE".

Consider the sum . A. Calculate the partial sum . Round to 4 decimal places. B. Calculate the infinite sum S. Round to 4 decimal places.

Is the following a geometric series? Answer "Yes" or "No". 3 + 6 + 9 + 12 + 15 + ...

Is the following a geometric series? Answer "Yes" or "No". 4 + 1 + 0.25 + 0.0625 + 0.015625 + ...

Find the sum . Round to 2 decimal places.

Is the following a geometric series? Answer "Yes" or "No".

Which of the following are geometric series? Select all correct answers.

Find for the series Round to 3 decimal places.

Find the sum of . If it does not exist, enter "DNE".

Find the sum of the series . Round to 2 decimal places.

Is the following a geometric series? Answer "Yes" or "No". 2 + 4 + 8 + 16 + 32 + ...

Find the sum of . If it does not exist, enter "DNE".

If the sum of the series is , what is a?

Each week, a patient is given a 40 mg dose of an experimental vaccine, and 25% of the vaccine remains in the body after one week. How many milligrams of the vaccine are in the body right after the 15^th dose? Round to 2 decimal places.

Each quarter, $1000 is deposited into an account earning 1.2% interest per quarter, compounded quarterly. How much money is in the account right before the 11^th deposit? Round to the nearest dollar.