Arithmetic Sequence Notation

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

• 45, 54, 63

• 49, 59, 69

• 39, 49, 59

• 59, 69, 79

Write the recursive formula for 4, 8, 12...

• a_n=a_n-1-7

• a_n=a_n-1-4

• a_n=a_n-1+3

• a_n=a_n-1+4

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

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 32nd term of this sequence.
9, 4, -1, -6, -11, ...

• 81

• -34

• -146

• -225

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

• -515

• -490

• -535

• 460

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

• d = -10

• d = -9

• d = -8

• d = -7

Find the 10th term.

• 16

• 12

• 21

• 30

A sequence can be generated by using a_n = a_{(n − 1)} + 10, where a₁ = 23 and n is a whole number greater than 1. What are the first five terms in the sequence?

• 33, 43, 53, 63, 73

• 23, 33, 43, 53, 63

• 23, 230, 2300, 23000, 230000

• 23, 13, 3, −7, −17

Complete the Table.

• 25, 32, 39, 46

• 7, 32, 57, 82

• 32, 39, 46, 53

• 7, 14, 21, 28