I feel like I am missing something to this question.
Let be a real number, . Find a sequence such that and .
My answer (so far):
.
Changing indexes:
Is that really all they're looking for?
Thanks.
I think I fixed the notation you were referring to. I used copy and paste to type that up and forgot to change some lines.
Thanks, Soroban.
My book calls that a geometric sequence. The geometric series would be the sum, from to , of . The sum could then be replaced by: