Question

Write the first five terms of the sequence defined by the recursive formula an = 5an-) -1, with a =0. (1 point) -1, - 6, -31, - 156, - 781 0, -1, - 6, -31,- 156 4, 9, 14, 19, 24 - 1, 4, 9,14, 19

Answer 1

Starting with a0 = 0 and a_n = 5a_{n-1} − 1:

a0 = 0
a1 = 5·0 − 1 = −1
a2 = 5·(−1) − 1 = −6
a3 = 5·(−6) − 1 = −31
a4 = 5·(−31) − 1 = −156

So the first five terms are: 0, −1, −6, −31, −156.