Question

Which equation would generate the arithmetic sequence: -8.-3.2.7.12.

A 5-8(n-1)

B = -8+5(n-1)

C None of the other answers are correc

D = -8-5(1-1) a = 5+8(n-1)​

Answer 1

Answer: B

Explanation:

The equation for an arithmetic sequence is:

aₙ = a₁ + d(n - 1)

This matches answer B, so lets test it.

Substitue the position values for n

Given: Position 1 = -8

Solve Position 2:

a₂ = -8 + 5(2 - 1) = -3

a₃ = -8 + 5(3 - 1) = 2

a₄ = -8 + 5(4 - 1) = 7

a₅ = -8 + 5(5 - 1) = 12