Free Printable Geometric Sequences

1.

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

a)

7.8125

b)

15.625

c)

7.1825

d)

15.265

2.

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

a)

1/27,-1/81,1/243

b)

-1/18,1/36,-1/72

c)

-1/27,1/81,-1/243

3.

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

a)

Arithmetic

b)

Geometric

c)

Neither

4.

Write the explicit formula for the geometric sequence.

a)

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

b)

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

c)

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

d)

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

5.

Find the common ratio for the geometric sequence.

a)

-4

b)

1/4

c)

4

d)

-1/4

6.

How is an geometric sequence found?

a)

By adding the same number to the previous term.

b)

By multiplying the previous term by the same number.

7.

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

a)

4

b)

3

c)

2

d)

6

8.

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?

a)

Geometric

b)

Arithmatic

c)

Both

d)

Neither

9.

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

a)

$50

b)

$35

c)

$250

d)

$320

10.

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)

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

b)

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

Geometric Sequences

Total questions: 10

Worksheet time: 24mins

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