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, 2 months ago Modified 5 years, 1 month ago

Possible Duplicate: How do I come up with a function to count a pyramid of apples? Proof that ∑ k=1n k2 = n(n+1)(2n+1) 6 ∑ k = 1 n k 2 = n (n + 1) (2 n + 1) 6? Finite Sum of Power? I know that the sum …

Sep 17, 2020 · While studying for my course, I found following rule in the web (below image). My professor seems to assume everyone know this, but I don't understand why this works. It says $$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 example, …

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 …

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

Jan 18, 2026 · So I was reading example 5.9 in Evan Chen's "Summations" handout (pdf link via evanchen.cc), and I wondered: How would anyone ever calculate $$\\sum_{k=0}^\\infty\\limits …

I just looked it up. He describes it precisely for the purpose of contrasting with the factorial function, and the name seems to be a play on words (term-inal rather than factor-ial). I was suspicious that he …

How do you write the summation of a summation? Ask Question Asked 13 years, 3 months ago Modified 13 years, 3 months ago