Arithmetic Sequences

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Find the first term of the given sequence:
a₁₄=68
d=3

• 14
• 20
• 26
• 29

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

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

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

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Find the 4th term for the sequence defined by a₁=9; a_n=a_n-1+8

• 35
• 17
• 41
• 33

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16

• a_n = a_n-1 - 17

• a_n = a_n-1 - 15

• a_n = a_n-1 - 16