Geometric Series Word Problems

How is an geometric sequence found?

• By adding the same number to the previous term.
• By multiplying the previous term by the same number. 

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CCSS.HSF.BF.A.2

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

• 4
• 3
• 2
• 6

Tags

CCSS.HSF.BF.A.2

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?

• Geometric
• Arithmetic
• Both
• Neither

Tags

CCSS.HSF.BF.A.2

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

• $50
• $35
• $320
• $250

Tags

CCSS.HSF.BF.A.2

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?

• 2 orders
• 4 orders
• 8 orders
• 16 orders

Tags

CCSS.HSF.BF.A.2

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? 

• 2000(1+0.02)¹³
• 2000(1-0.02)¹³
• 2000(1+0.02)¹⁶
• 2000(1-0.02)¹⁶

Tags

CCSS.HSF.BF.A.2

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.

• a_n = 729(1/3)^n-1

• a_n = 729(3)^n-1

• a_n = 1/3(a_n-1)

• a_n = 1/3(729)^n-1

Tags

CCSS.HSF.BF.A.2

A geometric sequence is a sequence who's pattern involves

• adding or subtracting

• multiplying or dividing

• addition and dividing

• nothing

Tags

CCSS.HSF.BF.A.2

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?

• Yes

• No

Tags

CCSS.HSF.BF.A.2

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.

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2