Lyric Morris

2022-02-05

What is the eighth term given the sequence: $+896,-448,+224,-112,\cdots$ ?

vhudzeniy2n

Beginner2022-02-06Added 16 answers

Step 1

Let any position count be i

Let any term be

So

Two things I notice:

Step 1

Alternates between positive and negative starting at positive.

So this can be achieved by

Step 2

Each term is half the previous

So we have

This implies

Step 3

Thus