Arithmetic Sequences

The first three terms of an arithmetic sequence are as follows.

3, -4, -11

Find the next two terms of this sequence

• -17 and -25

• -18 and -26

• -18 and -25

• -17 and -26

What is the common difference of the sequence 2, -1, -4, -7,...?

• -3

• -1

• -2

• 3

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -7n+9

• a_n = 7n-5

• a_n = 7n-9

• a_n = -7n+5

An arithmetic sequence is given below.

16, 13, 10, 7, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -3n+19

• a_n = -5n+13

• a_n = 3n+13

• a_n = -5n+20

What is the common difference of the following sequence?

7, 27, 47, 67,...

• 10

• 20

• 3

• -20

What is a₁ in the following sequence?

-6, -14, -22, -30, ...

• -6

• -14

• -22

• -30

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

• d = 100
• d = 101
• d = 200
• d = 201

 $a_n=a_1+\left(n-1\right)\left(d\right)$  

Given the following pattern sequence, use the formula to find the 17th term.

• 91

• 86

Given the following pattern sequence, describe the pattern that you see.

• Each figure has twice as many as the last figure

• Each figure has the same amount added to it as was added to the previous term, plus 1 more.

• Each figure has the same amount added as the last figure

• Each figure has 1 more dot than the one before it

• No descriptions match.

 $a_n=a_1+\left(n-1\right)\left(d\right)$  

Use the formula to find the 100th term of the sequence:

13, 19, 25....