Question

In a sequence of numbers, a3 = 0, a4 = 6, a5 = 12, a6 = 18, and a7 = 24. Based on this information, which equation can be used to find the nth term in the sequence, an?.

Answer 1

aₙ = 6aₙ - 18

Explanation:

a₃ = 0, a₄ = 6, a₅ = 12, a₆ = 18, a₇ = 24...

aₙ = 6aₙ - 18

a₃ = (6 × 3) - 18 = 0

a₄ = (6 × 4) - 18 = 6

a₅ = (6 × 5) - 18 = 12

a₆ = (6 × 6) - 18 = 18

a₇ = (6 × 7) - 18 = 24

I hope this helps!