Algebra 1: Arithmetic Sequences

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

• Yes
• No

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

• Yes
• No

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

• d = -5
• d = 5
• d = -6
• d = 6

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

• d = -10
• d = -9
• d = -8
• d = -7

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

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

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

• -1, 7, 15
• -5, 2, 9
• 3, 12, 21
• -65, -73, -81

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

• -20, -24, -28
• -21, -25, -29
• -23, -28, -33
• -24, -29, -32

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

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

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

CHALLENGE: Find the first term of the given sequence:

a₁₄=68

d=3

Hint: Write the explicit equation and substitute what you are given, then solve.

• 14

• 20

• 26

• 29