Free Printable B1 Test Arithmetic and Geometric Sequence and Series

1.

Select all arithmetic sequences.

a)

20, 40, 80, 160, 320,...

b)

12, 6, 0, -6, -12,....

c)

20, 22.5, 25, 27.5, 30, ...

d)

3, -6, 12, -24, 48, ...

2.

Which pattern of numbers represents a geometric sequence? select the correct answer

a)

2, 4, 6, 8, 10..

b)

$200,40,8,\frac{8}{5},\frac{8}{25},...$

c)

3, 9, 15, 21, 27,...

d)

25, 15, 5, -5, -15, ...

3.

Find the next 3 terms in the sequence -5, -3, -1,

______, _______ , ________,

select the correct answer!

a)

-1, -3, -5

b)

1, 3, 5

c)

2, 5, 7

d)

3, 5, 8

4.

Find the next 3 terms in the sequence

x + 6, x + 2, x - 2, ________, _______, ________

a)

x + 4, x + 8, x + 12

b)

x - 4, x - 8, x - 12

c)

x - 6, x- 8, x - 14

d)

x - 6, x - 10, x - 14

5.

What are the next 2 terms of the sequence

50, 10, 2 ,_____, ______?

a)

$\frac{2}{5},\frac{2}{25}$

b)

$-36,\ -76$

c)

$\frac{2}{5},\frac{1}{5}$

d)

$8,14$

6.

Find the 37th term for the sequence 17, 26, 35, ...Show your work on paper. Type your answer in the blank. Don't use spaces

(a)

7.

What is the 6^th term for the sequence given

-2, -14, -98...

Show your work on paper. Type your answer in blank, no spaces.

(a)

8.

Find the first term in the arithmetic sequence for which $a_{20}=120;\ d=4$ Show your work on paper! Then type your answer in the blank! no spaces

(a)

9.

$a_n=62;\ a_1=5;d\ =3$

Find n for the arithmetic sequence using the information above! Show your work on paper then type your answer in blank. no spaces

(a)

10.

$a_1=-12;\ a_8=-54$

Find d for the arithmetic sequence given the information above. Show your work on paper then select the correct answer!

a)

d = 8

b)

d = 5

c)

d = -6

d)

d = 7

11.

Form an arithmetic sequence that has five arithmetic means between -3 and -15.
-3, _______, ________, ________, _______, ________, -15

a)

-4, -5, -6, -7, -8, -9

b)

-5, -7, -10, -11, -13

c)

-6, -9, -12, -15, -18

d)

-5, -7, -9, -11, -13

12.

Form an arithmetic sequence that has two arithmetic means between 18 and 42.

18,____, _____,42

Select the correct answers

a)

28 and 38

b)

26 and 34

c)

24 and 30

d)

25 and 32

13.

.Form a geometric sequence that has 3 geometric means between -9 and -729.

-9, ______, _____, ____, -729

Select the correct answers.

a)

-18, -36, -72

b)

-27, -81, -243

c)

-36, -144, -576

d)

-59, -109, -159

14.

Find the 6th term for the sequence

12, 24, 48, ...

Select the correct answer

a)

56

b)

84

c)

384

d)

320

15.

Find the sum of the 42 terms in the series 16, 10, 4 ...

Show your work on paper then select the correct answer.

a)

-5,062

b)

-4,500

c)

-3,540

d)

-4,494

16.

What is the sum of the infinite series given? $1+5+25+...$

a)

31

b)

$-\frac{1}{4}$

c)

100

d)

There is no infinite sum because $\left|r\right|>1$

17.

$\frac{1}{3}+\frac{1}{12}+\frac{1}{48}+\frac{1}{192}+...$

What is the sum of the infinite series given?

Show your work on paper!!!
Select the correct answer.

a)

$\frac{85}{192}$

b)

$\frac{4}{9}$

c)

$\frac{4}{255}$

d)

$\frac{1}{192}$

18.

$\sum_{n=2}^5\left(3n+1\right)$

Find the sum for the sigma notation.

Show your work on paper. Then type your answer in the blank. no spaces.

(a)

19.

$\sum_{n=1}^52^n$

Find the sum for the sigma notation.

Show your work on paper. Then select the correct answer.

a)

62

b)

34

c)

10

d)

24

20.

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

Find the sum for the sigma notation. Show your work on paper then type your answer in the blank. No rounding type your answer in blank as is. no spaces.

(a)

B1 Test Arithmetic and Geometric Sequence and Series

Total questions: 20

Worksheet time: 3hrs 20mins

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