Arithmetic Sequence and Monomials

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

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes

• No

Which sequence(s) represent an arithmetic sequence?

• a and e

• a, b, and e

• b, c, and d

• b

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

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

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