Free Printable Sequences Review

1.

Is the following sequence arithmetic or geometric?

$125,\ 25,\ 5,\ \frac{1}{5},\ ...$

a)

Arithmetic Sequence

b)

Geometric Sequence

2.

A sequence is defined by the explicit formula $a_n=3n-1$ . What is the 8th term of this sequence?

(a)

3.

A sequence is defined by the recursive formula below.

$a_1=3$
$a_n=2a_{\left(n-1\right)}$

What are the first three terms of this sequence?

a)

2, 4, 8

b)

3, 6, 12

c)

6, 12, 24

d)

3, 5, 7

4.

What is the explicit formula of the given sequence?

$5,\ 1,\ -3,\ -7,\ ...$

a)

$a_n=-4n+5$

b)

$a_n=4n\ -\ 5$

c)

$a_n=-4n+9$

d)

$a_n=5n\ -\ 4$

5.

What is the explicit formula of the sequence given below?

$\frac{1}{8},\ \frac{1}{2},\ 2,\ 8,\ 32,\ ...$

a)

$a_n=\frac{1}{8}\left(4\right)^{\left(n-1\right)}$

b)

$a_n=4\left(\frac{1}{8}\right)^{\left(n-1\right)}$

c)

$a_n=4\left(\frac{1}{2}\right)^{\left(n-1\right)}$

d)

$a_n=32\left(\frac{1}{4}\right)^{\left(n-1\right)}$

6.

What is the next term in the following sequence?

$4,\ 8,\ 16,\ 32,\ ...$

(a)

7.

In an arithmetic sequence, a₃ = 4, a₄ = 12, and a₅ = 20. What is the explicit formula for this sequence?

a)

$a_n=8n+4$

b)

$a_n=8n-20$

c)

$a_n=8n-12$

d)

$a_n=-12n+8$

Sequences Review

Total questions: 7

Worksheet time: 2hrs 45mins

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