Question

What are the first five terms of the recursive sequence?

an= 3a n-1 +3 where a1= 9

9, 30, 93, 282, 849
9, 15, 21, 27, 33
9, 24, 69, 204, 609
9, 27, 81, 243, 729

Answer 1

The first five terms of the recursive sequence are:

an = 3an-1 + 3

a1 = 9

a2 = 3a1 + 3 = 3 * 9 + 3 = 30

a3 = 3a2 + 3 = 3 * 30 + 3 = 93

a4 = 3a3 + 3 = 3 * 93 + 3 = 282

a5 = 3a4 + 3 = 3 * 282 + 3 = 849

So the first five terms are: 9, 30, 93, 282, 849.

Explanation: