Arithmetic Sequence Notation

Which sequence(s) represent an arithmetic sequence?

• a and e

• a, b, and e

• b, c, and d

• b

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

Write the explicit rule for this situation in simplified form.

• f(n) = −8n + 60

• f(n) = 8n + 44

• f(n) = −8n + 52

• f(n) = f(n − 1) − 8

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

• 98 inches

• 266 feet

• 266 inches

• 98 feet

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

In the recursive rule for the arithmetic sequence a_n =  a_{(n − 1)} + d, the (n − 1) represent the ________________.

• next term

• current term

• previous term

• first term

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