Quiz about Geometric Sequence Word Problems

Question 1

How is an geometric sequence found?

Accepted Answer

By multiplying the previous term by the same number.

Answer

By adding the same number to the previous term.

Question 2

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

Accepted Answer

2

Answer

4

Answer

3

Answer

6

Question 3

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Both

Answer

Neither

Question 4

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

Accepted Answer

$320

Answer

$50

Answer

$35

Answer

$250

Question 5

Angela opened a new bakery. She got orders for 2 cakes the first week, 4 cakes the second week, and 8 cakes the third week. If the pattern continues, how many cake orders will Angela get the fourth week?

Accepted Answer

16 orders

Answer

2 orders

Answer

4 orders

Answer

8 orders

Question 6

Bruno was given $2000 when he turned 3 years old. His parents invested it at a 2% interest rate compounded annually. No deposits or withdrawls were made. Which expression can be used to determine how much money Bruno had in the account when he turned 16?

Accepted Answer

2000(1+0.02)¹³

Answer

2000(1-0.02)¹³

Answer

2000(1+0.02)¹⁶

Answer

2000(1-0.02)¹⁶

Question 7

You have $729 in the bank on Day 1, $243 on Day 2, and $81 on Day 3. Write the explicit formula that expresses the sequence.

Accepted Answer

a_n = 729(1/3)^n-1

Answer

a_n = 729(3)^n-1

Answer

a_n = 1/3(a_n-1)

Answer

a_n= 1/3(729)^n-1

Question 8

A geometric sequence is a sequence who's pattern involves

Accepted Answer

multiplying or dividing

Answer

adding or subtracting

Answer

addition and dividing

Answer

nothing

Question 9

Given the number of bacteria in a Petri dish is 10 and they double themselves every minute, does the number of bacteria in the Petri dish after n minutes form a geometric sequence?

Accepted Answer

Yes

Answer

No

Question 10

Determine if the following scenario describes an arithmetic or geometric sequence:

You are saving up money to travel. The first week you save $1. The next week you double that amount and save $2. You continue to double every week.

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 11

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1_{What is the common ratio(r) of the sequence?}

Accepted Answer

2

Answer

10

Answer

20

Answer

2n

Question 12

Hayley has a garden and likes to put flowers from her garden into pretty vases. Hayley put 42 flowers in the first vase, 42 flowers in the second vase, 42 flowers in the third vase, and 42 flowers in the fourth vase. What kind of sequence is this?

Accepted Answer

Both

Answer

Geometric

Answer

Arithmetic

Answer

Neither

Geometric Sequence Word Problems

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