Question

Indicate a general rule for the nth term of this sequence. -6b, -3b, 0b, 3b, 6b. . .

a n = 3bn + 9b
a n = -3bn + 9b
a n = 3bn – 9b
a n = -3bn – 9b

Answer 1

a(n) = -16b + (n - 1)(3b)

Explanation:

First term is -6b.

Common difference is 3b; each new term is equal to the previous one, plus 3b.

Formula for this arithmetic sequence is

a(n) = -16b + (n - 1)(3b)