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 ...

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)

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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 …

Explore related questions summation exponential-function See similar questions with these tags.

Dec 11, 2014 · Rules for Product and Summation Notation Ask Question Asked 12 years, 2 months ago Modified 6 years, 3 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.

Apr 3, 2021 · Repeated sum is denoted using $\\sum$ and is called "summation." What is the name for the analogous process with multiplication, denoted $\\prod$?

Mar 7, 2016 · More specifically, I do not understand the condition on the summation: $$\sum_ {i>j}$$ Does this actually mean sum over both i and j, using only values of i that satisfy i>j ?

Jun 30, 2016 · I search a general rule for calculating the logarithm of a sum or addition. I know that $$\ln { (a+b)}=\ln {\left (a\left (1+\frac b a\right)\right)}=\ln { (a)}+\ln ...