Arithmetic Sequence Formula

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

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6

• a_n=a_n-1-4
  a₁=6

• a_n=a_n-1+9
  a₁=6

• a_n=a_n-1+6
  a₁=6

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

• 35

• 17

• 41

• 33

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

• 14

• 68

• 63

• 71

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

Find the explicit formula:
-23, -16, -9, -2, ...

• a_n = -23 + 7(n -1)

• a_n = -23 - 7(n -1)

• a_n = 7 - 23(n -1)

• a_n = 7 + 23(n -1)

Write the explicit formula for the sequence.

The sequence 3, 6, 9, 12... is:

• Arithmetic

• Geometric

• Recursive

• Explicit

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Common denominator

• Common opposites

• Common domain

• Common difference