summation; See similar questions with these tags. Featured on Meta Thoughts on the future of Stack ...

I would use a matrix-notation. I assume your original values are in a vector S, say $ S=[a,b,c,d] $ and then I'd express the transformation to the vector Q using the triangular matrix D with

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 …

summation; Share. Cite. Follow edited Feb 12, 2023 at 22:45. mjc. 2,331 10 10 silver badges 19 19 bronze ...

Oct 10, 2016 · Can someone please explain the concept of a Ramanujan sum in easier language than Wikipedia and its relation to this question. Then, how to calculate the Ramanujan sum: …

What is the square of summation? Ask Question Asked 12 years, 3 months ago. Modified 1 year, 9 months ago.

summation; See similar questions with these tags. Featured on Meta Thoughts on the future of Stack ...

Mar 8, 2015 · Proof is in the eye of the reader. A way I like to teach inductive proofs is to back up the inductive hypothesis by one, put the next item in it, then see if you match the claimed formula.

Oct 2, 2016 · Question: Is it possible to show this, purely by manipulating the summand, and without first expressing the summation in closed form and then factoring the sum of squares? …

There are several things to remark here: First, $$\sum_{k=0}^{k=-2}\times 10$$ is not actually the correct notation.