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 the first place. For …

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 questions is …

Easy way of memorizing or quickly deriving summation formulas Ask Question Asked 10 years, 1 month ago Modified 5 years ago

How can we sum up $\sin$ and $\cos$ series when the angles are in arithmetic progression? For example here is the sum of $\cos$ series: $$\sum_ {k=0}^ {n-1}\cos (a+k \cdot d) =\frac {\sin (n …

Oct 9, 2013 · Since someone decided to revive this 6 year old question, you can also prove this using combinatorics Take n elements and count how many ways there are to put these two elements into 2 …

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 $\\prod$?

Aug 21, 2012 · What is the relation between a summation and an integral ? This question is actually based on a previous question of mine here where I got two answers (one is based on summation …

Jan 28, 2022 · This seems pretty basic, but I'm starting with the subject and the only formula I have to use for these kind of problems starts the summation at 1, like this. ∑n i=1(i) ∑ i = 1 n (i) = n(n+1) 2 n …