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 $2$ 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 …

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

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

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.

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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 …

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Feb 23, 2021 · I am trying to help a high school student to solve summation calculation problems. The i i value of most answers I found was based on i = 1 i = 1 like this: Now, the i i value of our …