Question

Write the first five terms of the sequence defined by the recursive formula

Answer 1

the sequence is 0, -1, -6, -31 ,-156 so that would be choice B

Answer 2

The second option is the correct answer

The sequence is : 0, -1, -6, -31, -156

Explanation:

It is given that,

The recursive formula , an = 5a(n-1) - 1 and a1 = 0

To find a2, a3, a4, a5

a2 = 5a1 -1 = 5x0 - 1 = -1

a3 = 5a2 - 1 = (5x -1 ) - 1 = - 5 - 1 = -6

a4 = 5a3 - 1 =(5x -6) - 1 = -30 - 1= -31

a5 = 5a4 - 1 = (5 x -31 ) - 1 = -155 -1 = -156

Therefore the resulting sequence is

0, -1, -6, -31 ,-156