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QUESTION

# 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.