New posts in Telescopic Series

Sum of Telescopic Series

A summation of a series based on the Fibonacci sequence.

Proving a sum of a strange series $ \sum_{i=1}^{n} 11i^{10}-55i^9+165i^8-330i^7+462i^6 -462i^5+330i^4-165i^3+55i^2-11i+1 = n^{11} $

The number of ways to represent a natural number as the sum of three different natural numbers

Infinity Summation problem (ANSWERED)

Proving inequality for induction proof: $\frac1{(n+1)^2} + \frac1{n+1} < \frac1n$

How does one transform a sum into a telescoping sum?

$\sum\limits_{n=1}^{\infty}\arctan{\frac{2}{n^2+n+4}}$

Finding sum of none arithmetic series

find the sum to n term of $\frac{1}{1\cdot2\cdot3} + \frac{3}{2\cdot3\cdot4} + \frac{5}{3\cdot4\cdot5} + \frac{7}{4\cdot5\cdot6 } + ... $