How do I calculate this sum in terms of 'n'? I know this is a harmonic progression, but I can't find how to calculate the summation of it. Also, is it an expansion of any mathematical function? 1 ...

Easy way of memorizing or quickly deriving summation formulas Ask Question Asked 10 years ago Modified 4 years, 11 months ago

What is interesting is that your formula is the closed form for a different summation, i.e. $\displaystyle \sum_ {i=0}^n \binom {i+1}2=\sum_ {i=0}^n \frac {i (i+1)}2=\frac {n (n+1) (n+2)}6=\binom {n+2}3$.

Mar 8, 2015 · How do I prove this by induction? Prove that for every natural number n, $ 2^0 + 2^1 + ... + 2^n = 2^{n+1}-1$ Here is my attempt. Base Case: let $ n = 0$ Then, $2^{0+1} - 1 = 1$ Which is true.

How do you write the summation of a summation? Ask Question Asked 13 years ago Modified 13 years ago

The first chapter of Concrete Mathematics by Graham, Knuth, and Patashnik presents about seven different techniques for deriving this identity, so you might be interested to look at that.

Oct 29, 2016 · I know that the sum of powers of $2$ is $2^{n+1}-1$, and I know the mathematical induction proof. But does anyone know how $2^{n+1}-1$ comes up in the first place. For example, …

May 7, 2019 · Notation of the summation of a set of numbers Ask Question Asked 13 years, 9 months ago Modified 1 year, 5 months ago

What's the formula to solve summation of logarithms? Ask Question Asked 12 years ago Modified 3 years, 4 months ago

Jan 12, 2019 · What are some strategies for trying to determine the general formula for a summation? For example, let's say I'm trying to determine the general formula for $\sum_ {i=1}^n \frac {i} {n}$ I …