Geometric Sequences

What is the 8th term in the sequence 1000,5000,250,125

• 7.8125

• 15.625

• 7.1825

• 15.265

Tags

CCSS.HSF.BF.A.2

Find the next 3 terms in this geometric sequence -9,3,1/3,-1/9

• 1/27,-1/81,1/243

• -1/18,1/36,-1/72

• -1/27,1/81,-1/243

Tags

CCSS.HSF.BF.A.2

Determine whether the sequence is geometric, arithmetic, or neither.

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• $\alpha_{\eta}=7\left(1\right)^n$

• $\alpha_{\eta}=7\left(-1\right)^n$

• $a_{\eta}=-1\left(7\right)^{n-1}$

• $\alpha_{\eta}=7\left(-1\right)^{n-1}$

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

• -4

• 1/4

• 4

• -1/4

Tags

CCSS.HSF.BF.A.2

How is an geometric sequence found?

• By adding the same number to the previous term.

• By multiplying the previous term by the same number.

Tags

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

• Arithmatic

• 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

• $250

• $320

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.

• $a_n=729\left(\frac{1}{3}\right)^{n-1}$

• $a_n=729\left(3\right)^{n-1}$

Tags

CCSS.HSF.BF.A.2