Arithmetic Sequence in Function Notation

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

Write the explicit rule for this situation.

• f(n) = 35 + 3(n − 1)

• f(n) = 35 −3(n − 1)

• f(n) = 3 + 35(n − 1)

• f(n) = −3 + 35(n − 1)

Write the recursive rule for this situation.

• f(n) = f(n − 1) + 58, n ≥ 2

• f(n) = 58 + 7(n − 1)

• f(n) = 58 − 7(n − 1)

• f(n) = f(n − 1) + 7, n ≥ 2

Find f(6) or a₆ for this situation.

• 60

• 160

• 280

• 150

The explicit rule for arithmetic sequence is a_n = a₁ + d(n − 1), what does the d represent.

• common denominator

• common difference

• common divider

• uncommon difference

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

Using this explicit rule a_{n = 2n + 5, write the first four terms in the sequence.}

• 7, 9, 11, 13

• 5, 7, 9, 11

• 7, 5, 3, 1

• 5, 3, 1, −1

What is the common difference?

• −16

• 84

• 16

• 0