Free Printable Arithmetic and Geometric sequences

1.

Which of the following represent the sequence

3,7,11,15,19.......

a)

$a_n=3+4n$

b)

$a_n=3n+4$

c)

$a_n=4n-1$

d)

$a_n=n+3$

e)

$a_n=n+4$

2.

Which of the following represent the sequence

$3,\frac{3}{2},\frac{3}{4},\frac{3}{8},\frac{3}{16},...$

a)

$a_n=\frac{3}{2}\left(n\right)^2$

b)

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

c)

$a_n=3\left(\frac{1}{2}\right)^n$

d)

$a_n=3\left(\frac{1}{2}\right)^{n-1}$

e)

$a_n=3\left(2\right)^n$

3.

Which of the following represent the sequence

$\frac{1}{2},-1,2,-4,8.....$

a)

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

b)

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

c)

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

d)

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

e)

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

4.

Which of the following represent the sequence

$3,\frac{3}{2},0,\frac{-3}{2},-3,...$

a)

$a_n=-\frac{3}{2}n+\frac{9}{2}$

b)

$a_n=3\left(-\frac{3}{2}\right)^{n-1}$

c)

$a_n=-\frac{3}{2}\left(-2\right)^n$

d)

$a_n=3\left(-\frac{1}{2}\right)^{n-1}$

e)

$a_n=-\frac{3}{2}n+3$

5.

Select each of the equations that represent the sequence

8,14,20,26,32,28....

a)

$a_n=6n+8$

b)

$a_n=6n+2$

c)

$a_n=6\left(n-1\right)+8$

d)

$a_1=8;\ a_n=a_{n+1}+6$

e)

$a_1=8;\ a_{n+1}=a_n+6$

6.

Select each of the equations that represent the sequence

7,10,13,16,19....

a)

$a_1=7;\ a_n=a_{n+1}+3$

b)

$a_1=7;\ a_{n+1}=a_n+3$

c)

$a_1=3;\ a_n=a_{n-1}+7$

d)

$a_1=7;\ a_n=a_{n-1}+3$

e)

$a_1=7;\ a_{n-1}=a_n+3$

7.

Which of the following represent the sequence

18,11,4,-3,-10...

a)

$a_n=-7n+11$

b)

$a_n=-7n+25$

c)

$a_n=7n+11$

d)

$a_n=7n+25$

e)

$a_n=-7\left(n-1\right)+11$

8.

In an arithmetic sequence $a_1=5$ and $a_{11}=60$

What is the common difference?

(a)

9.

In an arithmetic sequence $a_2=12$ and $a_6=-24$

What is the common difference?

(a)

10.

In a geometric sequence $a_2=-4$ and $a_5=32$

What is the common ratio?

(a)

11.

Which of the following sequences represent $a_1=4;\ \ a_{n+1}=2a_n-5$ ?

a)

-3, -1, 1, 3, 5 ,7....

b)

3, 5, 7, 9, 11, 13.....

c)

4, -1, -6, -11, -16....

d)

4, 3, 1, -3, -11....

e)

4, 3, 2, 1, 0, -1.....

12.

The sequence represented by $a_1=12\ \ a_{n+1}=a_n+7$ is:

a)

Arithmetic

b)

Geometric

c)

both Arithmetic and geometric

d)

Fibonacci

e)

None of the above

13.

The sequence represented by $a_1=7\ \ a_{n+1}=\frac{a_n}{2}$ is:

a)

Arithmetic

b)

Geometric

c)

both Arithmetic and Geometric

d)

Fibonacci

e)

None of the above

14.

The sequence represented by $a_1=6\ \ a_{n+1}=2a_n-5$ is:

a)

Arithmetic

b)

Geometric

c)

both Arithmetic and geometric

d)

Fibonacci

e)

None of the above

15.

In an arithmetic sequence $a_5=3$ and $a_{11}=33$

Which of the following represent this sequence?

a)

$a_n=5n+3$

b)

$a_n=6n+3$

c)

$a_n=5n-22$

d)

$a_n=6n-29$

Arithmetic and Geometric sequences

Total questions: 15

Worksheet time: 29mins

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