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A sequence is shown.

-2, -6, -18, -54, ...

Which function, f(n), represents the nth term of the sequence, where f(1) = -2?

• f(n) = -2(-3)^n-1

• f(n) = -2(3)^n-1

• f(n) = 2(-3)^n-1

• f(n) = -2(3)ⁿ

• f(n) = 2(-3)ⁿ

• 
• 
• 
• 

• 4

• 2

• 64

• 15

• 100

Mathematical Equivalence

ON

Write an explicit formula for the sequence

18, 16, 14, 12, 10, 8, ...

• y= 3/4 x + 3

• y= 1/2 x +3

• y= 2x+3

• y=2x-7

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3
• a_n = 5(3)^n-1
• a_n = 3(5)^n-1
• a_n = 5 + (n-1)3

Given the rule: a_n = 7(½)^n-1

Identify the first term.

• a_n

• 7

• ½

• n

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -7n+9

• a_n = 7n-5

• a_n = 7n-9

• a_n = -7n+5