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 ...

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 …

How do you write the summation of a summation? Ask Question Asked 12 years, 7 months ago Modified 12 years, 7 months ago

Dec 11, 2014 · Rules for Product and Summation Notation Ask Question Asked 11 years, 7 months ago Modified 5 years, 9 months ago

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 …

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

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)

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 …

Mar 3, 2018 · In the second notation, a specific summation order is given, whereas in the first one there isn't. So the first notation is only appropriate if the order of summation doesn't matter.

$ \\sum_{i=0}^{5}{i^2} = 0^2+1^2+2^2+3^2+4^2+5^2 = 55 $ How to write this Sigma notation only for odd numbers: $ 1^2+3^2+5^2 = 35 $ ?