List the first five terms of the sequence. a1 = 4, an+1 = 5an − 3

The recursive formula

is telling you that the next term in the sequence is five times the previous one, minus 3.

So, if we start with , we have to multiply it by 5 and subtract 3 to get the next:

And similarly we can obtain all the next terms:

if x = 1, then the answer is 3.5