Question

What is the average of integers from 25 to 41?

Answer 1

`33 = (25+41)/2`

The average of the terms of a contiguous subsequence of any arithmetic progression is the average of the first and last terms.

To see this, notice that if you remove `25` and `41` from your sequence, then the average of the remaining terms is still given by the average of the extreme terms `(26+40)/2 = 33`.