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 ...

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 2 is 2n+1 − 1 2 n + 1 1, and I know the mathematical induction proof. But does anyone know how 2n+1 − 1 2 n + 1 1 comes up in the …

isn't the double summation notation a little less confusing? Or at least worthwhile mentioning what is meant by \sum_ {i\neqj}?

Dec 11, 2014 · Rules for Product and Summation Notation Ask Question Asked 11 years, 8 months ago Modified 5 years, 9 months ago

Nov 17, 2017 · Bernoulli stated sum of series of powers as: LINK to the image source (Power Sum) I had a doubt in the given formula in the picture! What if $n < p$ i.e. $1^4 + 2 ...

Mar 8, 2015 · Your induction hypothesis and what you are trying to prove for induction are both incorrect. What you are trying to prove is that the sum of the powers of 2 2 up to n n is equal to …

Mar 3, 2018 · Explore related questions summation notation See similar questions with these tags.

What are the (most important) rules of double sums? Below are some rules I encountered - are they all correct and complete? Offerings of clear intuition or proofs (or other additions) are …

How to derive the formula for the sum of the first n n odd numbers: n2 =∑n k=1(2k − 1). n 2 = ∑ k = 1 n (2 k − 1). [duplicate] (10 answers)