Free Printable Arithmetic & Geometric Sequence

1.

Determine if the sequence is arithmetic or geometric.

1.2, 3.5, 5.8, 8.1, 10.4

a)

Not possible

b)

Geometric

c)

Arithmetic

d)

Algebraic

2.

Find $a_{12}$ using the information given. -5, -2, 1, 4, 7,...
$\ \ \ a_n=a_1+\left(n-1\right)d$

a)

34

b)

32

c)

30

d)

28

3.

Write the expression for the general term $a_n$ of the arithmetic sequence.
2, 5, 8, 11, ...

a)

$a_n=3n-1$

b)

$a_n=3n+1$

c)

$a_n=n^2-3$

d)

$a_n=3n-n$

4.

Find the indicated term.
$a_1=\frac{12}{25},\ d=-\frac{1}{10};\ find\ a_9\ \ \ \ \ \ a_n=a_1+\left(n-1\right)d$

a)

$a_9=-\frac{12}{25}$

b)

$a_9=-\frac{10}{25}$

c)

$a_9=-\frac{8}{25}$

d)

$a_9=-\frac{6}{25}$

5.

Find the number of terms in an arithmetic sequence,

$-3.4,\ -1.1,\ 1.2,\ 3.5,...,\ 38\ \ \ \ a_n=a_1+\left(n-1\right)d$

a)

10

b)

15

c)

20

d)

25

6.

$\ \ \ a_n=a_1+\left(n-1\right)d$ Find the indicated term.
$a_1=-60,\ \ d=5;\ \ find\ a_{50}$

a)

685

b)

860

c)

680

d)

586

7.

Use: $s_n=\frac{n}{2}\left(a_1+a_2\right)$ Evaluate the sum.
$\sum_{n=1}^{106}\left(-3n+7\right)$

a)

-61,271

b)

-16,271

c)

-27,161

d)

-72,161

8.

$s_n=\frac{n}{2}\left[2a_1+\left(n-1\right)d\right]$

Use the formula for the following.

The sum $s_{82}$ for the sequence
-9 -3 +3+9+15+...

a)

18,891

b)

81,891

c)

19,881

d)

19,188

9.

Find the nth partial sum indicated for the sequence.
The sum

$s_{50}$ using $s_n=\frac{n}{2}\left[2a_1+\left(n-1\right)d\right]$
(-2) + (-7) + (-12) + (-17) + ...

a)

-5622

b)

-6225

c)

-6522

d)

-2265

10.

$a_n$ Write the expression for the general term

-17, -14, -11, -8

a)

$a_n=2n-20$

b)

$a_n=3n-20$

c)

$a_n=2n-23$

d)

$a_n=3n-20$

Arithmetic & Geometric Sequence

Total questions: 10

Worksheet time: 27mins

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