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11/3: Mrs. Lyons Algebra I: SEQUENCES

Total questions: 27

Worksheet time: 14mins

Name
Class
Date
1.

Arithmetic sequences are generated using repetitive ________________.

a)
multiplication and division
b)
addition and subtraction
2.

A sequence is _______.

a)

a set of numbers in a specific order.

b)

a formula used to find a number.

c)

the term after an.

d)

a collection of data.

3.
Which kind of sequence has a common ratio?
a)
Arithmetic
b)
Geometric
4.

To find the next term in an arithmetic sequence

a)

add the common difference d

b)

multiply by the common ratio r

5.

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

6.

What does a1 represent?

a)

Any term

b)

First term

c)

Last term

7.

The difference between two terms in an arithmetic sequence is called ___________________.

a)

Common Ratio

b)

Common Difference

8.

This Memphis Grizzlies player is ________

a)

Lebron James

b)

Stephen Curry

c)

Desmond Bane

d)

Ja Morant

9.
The explicit formula is used to find a specific or later term in a sequence.
a)
True
b)
False
10.

Given the sequence 4, 11, 18, 25...... what is a3 ?

a)

4

b)

11

c)

18

d)

25

11.

In recursive formulas what does the term an-1 represent?

a)

the previous term

b)

the term you are looking for

c)

the first term

d)

the last term

12.
The recursive formula is used to find the next value in a sequence of numbers.
a)
True
b)
False
13.

Identify a1

97, 86, 75, 64, ...

a)

64

b)

11

c)

-11

d)

97

14.

What is the missing number?


__ , 7, 10, 13, 16

a)

6

b)

4

c)

5

d)

3

15.

Find a4a_4  for the sequence 2, 9, 16, 23, 30,...

a)

16

b)

23

c)

4

d)

30

16.

Write the next term of the following sequence:


5, 8, 11, 14, ...

a)

15

b)

16

c)

17

d)

18

17.
Is the sequence arithmetic: -3, 3, -3, 3, ...
a)
Yes
b)
No
18.

Write the next term of the sequence:


4, 9, 14, 19, ...

a)

24

b)

25

c)

29

d)

20

19.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
20.

Who is this Memphis Grizzlies player?

a)

Michael Jordan

b)

Jaren Jackson Jr.

c)

Shaquille O’Neal

d)

Wilt Chamberlin

21.

Given the following sequence, what is a5?

2, 7, 12, 17,...

a)

2

b)

12

c)

17

d)

22

22.

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

a)

-6

b)

6

c)

12

d)

-4

23.
Find the common ratio for the geometric sequence.
a)
1
b)
-1
c)
7
d)
-7
24.

Write a recursive formula for the sequence 17,13,9,5...

a)

an=an-1 - 4

b)

an=an-1 -17

c)

an=an-1 +4

25.

Which of the following explicit equations describe the sequence shown in the table?

a)

f(n) = 4n + 4

b)

f(n) = 4(n – 1)

c)

f(n) = 4n – 4

d)

f(n) = 4(n – 1) + 4

26.
Given the recursive formula below, find the explicit formula.  
a= 1
an = an-1 + 5
a)
a= 6 + 5n
b)
an = 1 + 5n
27.

Find the first four terms of the sequence.

an= 7(n + 2)

a)

21, 28, 35, 42

b)

7, 9, 11, 13

c)

9, 16, 23, 30

d)

16, 23, 30, 37