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Telescoping sums
Telescoping sums (Σ (f(k)-f(k+1)) = f(1)-f(n+1))
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Σ (f(k)-f(k+1)) = f(1)-f(n+1)
What each symbol means
Symbol
What it stands for
f
Function of index
n
Number of terms
When to use this
Middle terms cancel pairwise.