This math topic covers the calculation of the sum of a series of consecutive integers between two given numbers \(M\) and \(N\) using a specific formula. The problems provide an equation in each case and require finding the correct sum from multiple choices. Each scenario uses this formula to subtract the sum of integers from 1 to \(M-1\) from the sum of integers from 1 to \(N\), effectively isolating the sum from \(M\) to \(N\). The advanced level of these problems suggests they enhance skills in arithmetic sequences and algebraic manipulation.
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What is the sum of the integers from 1 to 8 based on this equation?