What is the 17th term in the arithmetic sequence described by this explicit formula?

Question

a_n= 77 + (n-1)(-5)

a. 162

b. -3

c. -8

d. 157

Answer 1

N represents the any number you want to find. Because you are wanting to find the 17th term or number, you will replace n = 17 into your equation.

a₁₇ = 77 + (17-1)(-5)

a₁₇ = 77 + (16)(-5)

a₁₇ = 77 - 80

a₁₇ = -3