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Printjmc
algebra intermediate
Problem
What is the sum of the odd integers from 11 through 39, inclusive?
Solution
We want to sum the arithmetic series , which has common difference 2. Suppose the series has terms. 39 is the th term, so . Solving, we get .The sum of an arithmetic series is equal to the average of the first and last term, multiplied by the number of terms, so the sum is .
Final answer
375