Free Printable Hon IM1 Unit L Sequences Review

1.

Is the sequence arithmetic: -3, 3, -3, 3, ...

a)

Yes

b)

No

2.

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

a)

Yes

b)

No

3.

Is the sequence arithmetic: 17, 9, 1, -7, ...

a)

Yes

b)

No

4.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

5.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

6.

Find the common difference: -18, -23, -28, -33, ...

a)

d = -5

b)

d = 5

c)

d = -3

d)

d = 3

7.

Find the common difference: 1, 201, 401, 601, ...

a)

d = 100

b)

d = 101

c)

d = 200

d)

d = 201

8.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

9.

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

a)

-20, -24, -28

b)

-21, -25, -29

c)

-23, -28, -33

d)

-24, -29, -32

10.

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

a)

63, 72, 81

b)

79, 88, 97

c)

70, 79, 88

d)

61, 70, 79

11.

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

a)

-216

b)

-148

c)

-146

d)

-150

12.

Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

13.

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

a)

182

b)

176

c)

170

d)

-118

14.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

15.

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

a)

Common denominator

b)

Common opposites

c)

Common domain

d)

Common difference

16.

Select the explicit rule that represents the sequence.

a)

6 + 5(n - 1)

b)

4 + 6(n - 1)

c)

6 - 4(n - 1)

17.

Select the explicit rule that represents the sequence.

a)

14(-3)(n - 1)

b)

3 + (n - 1)(14)

c)

14 + (n - 1)(-3)

d)

-3 + (n - 1)(14)

18.

Which is a *recursive rule* for the nth term in the sequence 15, 8, 1, ...?

a)

$a_1=15,\ a_n=a_{n-1}-7$

b)

$a_n=15-7\left(n-1\right)$

c)

$a_1=-7,\ a_n=a_{n-1}+15$

d)

$a_n=-7+15\left(n-1\right)$

19.

What is a formula for the nth term in the sequence -4, -9, -14, ...?

a)

$a_n=-4-5\left(n-1\right)$

b)

$a_n=a_{n-1}+5$

c)

$a_n=-5-4\left(n-1\right)$

d)

$a_n=-4+5\left(n-1\right)$

20.

What is a formula for the nth term in the sequence 12, 20, 28, ...?

a)

$a_n=20+8\left(n-1\right)$

b)

$a_n=-4+8\left(n+1\right)$

c)

$a_n=12+8\left(n-1\right)$

d)

$a_n=12\left(8\right)^n$

21.

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

a)

-16, -21, -26, -31

b)

5, -11, -27, -43

c)

-16, -80, -500, -200

d)

-16, -11, -6, -1

22.

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 21

d)

a_n = 4n + 25

23.

Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...

a)

a_n = 12n - 14

b)

a_n= 2n - 14

c)

a_n= -2n + 10

d)

a_n= -12n + 14

24.

What is the common ratio of this sequence ? 5, 25, 125, ...

a)

4

b)

2

c)

5

d)

6

25.

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

a)

-6

b)

6

c)

12

d)

-4

26.

Find the common ratio: 64, -16, 4, -1, ...

a)

r = -8

b)

r = -1/4

c)

r = -4

d)

r = 4

27.

Solving for the nth term of geometric sequence, given thata₁ = 1 and r= 2, what is the value of the 4th term?

a)

2

b)

8

c)

4

d)

16

28.

Write the explicit formula for the geometric sequence.

a)

a_n = 10(2)^n-1

b)

a_n = 2(10)^n-1

c)

a_n = 10(2)ⁿ

d)

a_n = 2(10)ⁿ

29.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

30.

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

a)

384

b)

512

c)

768

d)

1,024

31.

What is the 11th term of the geometric sequence?

a)

-5120

b)

97,656,250

c)

19,531,250

d)

-19,531,250

32.

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

a)

a_n = (125)(1/5)^(n-1)

b)

a_n = 625(1/5)^(n-1)

c)

a_n = 625(5)^(n-1)

d)

a_n = 125 + 5n

33.

A geometric sequence has a common ration(r) of 3 and the 8th term (a₈) is 13,122. What is the first term of the sequence (a₁)?

a)

3

b)

6

c)

18

d)

2

34.

To find the next term in a geometric sequence…

a)

add the common difference d

b)

multiply by the common ratio r multiply by the common ratio r

35.

To find the next term in an arithmetic sequence…

a)

add the common difference d

b)

multiply by the common ratio r

36.

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

a)

arithmetic (common difference d = 5)

b)

geometric (common ratio r = 5)

c)

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

37.

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

a)

arithmetic (common difference d = 6)

b)

geometric (common ratio r = 4)

c)

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

38.

Find the common ratio for the geometric sequence.

a)

2

b)

-2

c)

1/2

d)

-1/2

39.

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

a)

Arithmetic

b)

Geometric

c)

Neither

40.

225,75,25,8.33

a)

Geometric sequence with a common ratio of 1/3

b)

Geometric sequence with a common ration of 3

c)

Arithmetic sequence with a common difference of 58

d)

Common difference of 3

41.

Decide if the sequence is arithmetic, geometric or neither:
1, 1, 2, 3, 5, 8, 13

a)

Arithmetic

b)

Geometric

c)

Neither

42.

a₄ = 3 and a₁₀ = -39

Find the common difference of the arithmetic sequence.

a)

-6

b)

-7

c)

-8

d)

-9

Hon IM1 Unit L Sequences Review

Total questions: 42

Worksheet time: 2hrs 59mins

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