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Quiz - Lessons 22-24 - Sequences and Summations

Total questions: 13

Worksheet time: 56mins

Name
Class
Date
1.

Find the common difference of the arithmetic sequence

3,−2,−7,...

a)

3

b)

-2

c)

-5

d)

5

2.

Find the common ratio of the geometric sequence 6, 42, 294,...

a)

6

b)

7

c)

8

d)

49

3.

Find the common ratio of the geometric sequence 11, -55, 275,...

a)

-5

b)

5

c)

25

d)

-25

4.

Write an explicit formula for an​, the nth term of the sequence 9, 13, 17, ...

a)

an = 9 + 4(n-1)

b)

an = 9 - 4(n-1)

c)

an = 9 + 4(n)

d)

an = 9 * 4n-1

5.

Write an explicit formula for an​, the nth term of the sequence 63, -21, 7, ...

a)

an = 63 - 84(n-1)

b)

an = 63 * (1/3)n-1

c)

an = 63 * (-1/3)n-1

d)

an = 63 * (-3)n-1

6.

Find the 93rd term of the arithmetic sequence -5, -15, -25, ...

a)

-920

b)

-925

c)

-930

d)

-935

7.

Find the 9th term of the geometric sequence 3, -15, 75, ...

a)

1,171,875

b)

-1,171,875

c)

5,859,375‬

d)

-5,859,375‬

8.

If a1=7 and an=an-1+1 then find the value of a4.

a)

28

b)

4

c)

10

d)

11

9.

If a1=2 and an= -2an-1​ then find the value of a6.

a)

-64

b)

64

c)

32

d)

128

10.

Which recursive sequence would produce the sequence

7, 25, 97,...?

a)

a1 = 7 and an = 4an-1 + 3

b)

a1 = 7 and an = 3n-1 + 4

c)

a1 = 7 and an = 4an-1 - 3

d)

a1 = 7 and an = -3an-1 + 4

11.
a)

-24

b)

-59

c)

-108

d)

-190

12.

How is the series 5+11+17+ ⋯ +161 represented in summation notation?

a)
b)
c)
d)
13.

The Sigma Notation above represents the summation of this series: 4+10+16+22+28

What are the values of a and b in the Sigma Notation?

a)

a = 5, b = 1

b)

a = 5, b = 0

c)

a = 6, b = 1

d)

a = 1, b = 5