Free Printable 10.1 Sequences Quiz Review

1.

Find the 7th term in the sequence of 6, 13, 20, 27...

a)

48

b)

46

c)

42

d)

34

2.

What does a₁₀ mean in a sequence?

a)

The first term

b)

The last term

c)

The tenth term

d)

The sum of the first ten terms

3.

Given: a_n = 10, 20, 30, 40, 50, 60, ...

Find a₄

a)

40

b)

4

c)

100

d)

cannot be determined

4.

Given a_n= 11, 8, 5, 2, ... then a₆ = ?

a)

-1

b)

-4

c)

1

d)

2

5.

What does s₁₀ mean in a sequence?

a)

The first term

b)

The last term

c)

The tenth term

d)

The sum of the first ten terms

6.

Given: a_n = 10, 20, 30, 40, 50, 60, ...

Find s₄

a)

40

b)

4

c)

100

d)

cannot be determined

7.

What is the 100th term in the sequence a_n = 4n-12

a)

388

b)

40012

c)

100

d)

cannot be determined

8.

Given the recursive sequence: a₁ = 3 ; a_n = 5a_n-1 for n ≥ 2

What are the first three terms in the sequence?

a)

3, 15, 45

b)

5, 8, 11

c)

5, 15, 45

d)

3, 15, 75

9.

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

10.

Given b_n = 1, 4, 9, 16, 25, 36, 49, 64...

_Find $\sum_{n=3}^5b_n$

a)

12

b)

55

c)

135

d)

50

11.

Which of the following represents the series represented by:
$\sum_{n=4}^∞\left(n^{2\ }-3\right)$

a)

13 + 22 + 33 + 46 + 61

b)

13 + 22 + 33 + 46 + 61 + . . .

c)

-2 + 1 + 6 + 13 + 22 + 33 + . . .

d)

13, 22, 33, 46, 61, . . .

12.

How would you find $a_{85}$ if $a_n=6a_{\left(n-1\right)}-3\left(n-5\right)$

a)

$6a_{84}-3•80$

b)

$6•84-3•80$

c)

$6a_{84}-3a_{80}$

d)

none of these

13.

Determine the sum of the series written in Sigma Notation.

a)

45

b)

49

c)

90

d)

47

14.

Given the sequence:

4, 8, 12, 16, 20, 24, 28,...

what is $s_5$ ?

(a)

15.

Find $a_{11}$ for the sequence with the explicit formula: $a_n=3n+5\left(-1\right)^{\left(n+1\right)\ \ }$

(a)

16.

$b_1=12\ ,\ b_n=3b_{\left(n-1\right)}-10$

Given the recursive formula above,

find $b_4$ .

(a)

17.

Given the explicit formula below,
find $s_4$ :

$b_n=-2n+10$

(a)

18.

$\sum_{n=3}^6\left(3n+5\right)$

Find the sum represented by the notation above.

(a)

19.

$a_n=4+2\left(n-5\right)$

Find $a_{25}$

a)

150

b)

120

c)

54

d)

44

20.

How do you feel about the quiz coming up?

a)

Totally Ready

b)

Cautiously Optimistic

c)

I get most of it, but get confused on some of the concepts

d)

I have no clue what I am doing.

10.1 Sequences Quiz Review

Total questions: 20

Worksheet time: 20mins

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