I have reference material that shows how to get from step 2 to 3 by recognizing the harmonic series. But how do they get from step 1 to 2?
2026-04-11 19:50:31.1775937031
What steps and properties are involved in this Summation simplification?
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Notice that when $i$ runs from $1$ to $b$, $b-i+1$ runs from $b$ to $1$, descending and one by one. So you can just change the order of the sum to go from $1$ to $b$ ascending and one by one.