Arithmetic Sequences and Explicit Formula

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 explicit formula:
-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)
• a_n = -3 + 30(n -1)
• a_n = -30 - 3(n -1)
• a_n = -30 + 3(n -1)

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

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

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)

Identify the common difference.

-6, -3, 0, 3, 6....

• d=4

• d=3

• d=-4

• d=-3

What are the next 3 terms in this sequence of terms?     3, 7, 11, 15

• 18, 22, 26
• 19, 21, 23
• 19, 23, 27
• 18, 21, 24

In a sequence the first term is 7 and the common difference is 2. The fifth term is:

• 9

• 15

• 13

• 14

What is the 15th term of the sequence an = -3n+50

• 95
• -5
• 5
• -95