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## Homework Statement

Let [itex]a_{m+n}=A[/itex] and [itex]a_{m-n}=B[/itex] be members of arithmetic progression then [itex]a_{m}[/itex] and [itex]a_{n}[/itex] are? (m>n).

## The Attempt at a Solution

I fugured that [itex]a_{m}=\frac{A+B}{2}[/itex] but i have no idea what [itex]a_{n}[/itex] is.

In my textbook solution is [itex]a_{n}=\frac{(2n-m)A + mB}{2}[/itex]

How did they arrived to that solution?