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 ...

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

Taking differences once give i2 i 2, again gives 2i − 1 2 i 1, and a third time gives a constant 2 2. This suggests the formula should be a third-degree polynomial with leading coefficient 2 3! = 1 3 2 3! = 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 …

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 …

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.

Mar 18, 2018 · What is the formula for finding the summation of an exponential function? Ask Question Asked 7 years, 10 months ago Modified 3 years, 10 months ago

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 …

How do you write the summation of a summation? Ask Question Asked 13 years, 1 month ago Modified 13 years, 1 month 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 $\\prod$?