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

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

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.

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

Feb 25, 2015 · Rules for Product and Summation Notation Ask Question Asked 12 years, 1 month ago Modified 6 years, 2 months 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.

Mar 18, 2018 · What is the formula for finding the summation of an exponential function? Ask Question Asked 7 years, 9 months ago Modified 3 years, 9 months ago

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