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# What is the average of integers from 25 to 41?

##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##.