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 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 …

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.

Jan 29, 2019 · The summation from a starting time to an ending time of interest adds all those parcels together over a given interval of interest and thus gives you the total change, say the total amount by …

Jan 28, 2022 · $$ \\sum_{i=0}^{n}(i) $$ 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. $ …

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 …

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, …

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

How do you write the summation of a summation? Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago