Arithmetic Sequence Word Problems

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

• d = -10

• d = -9

• d = -8

• d = -7

Find the common difference: -18, -23, -28, -33, ...

• d = -5

• d = 5

• d = -3

• d = 3

Complete the Table.

• 25, 32, 39, 46

• 7, 32, 57, 82

• 32, 39, 46, 53

• 7, 14, 21, 28

Is this an arithmetic sequence?

• yes

• maybe

• sometimes

• no

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

What is the common difference?

• −16

• 84

• 16

• 0

Find f(6) or a₆ for this situation.

• 60

• 160

• 280

• 150

What will be the length if there were 20 grocery carts? (Hint: Find explicit rule first)

• 98 inches

• 266 feet

• 266 inches

• 98 feet

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