A telescoping sum is a sum that is calculated when immediate terms cancel out. For terms like $\frac{1}{n(n + k)}$, it equals $\frac{1}{k}(\frac{1}{n} – \frac{1}{n + 1})$. A special case, 1, must be noted. Everything simplifies to $\frac{1}{n} – \frac{1}{n – 1}$ There are also other telescoping formulas, like General Linear Denominator and Radical Telescoping […]