As for a closed form of the sum, note that each side is an arithmetic series with a common difference of 1 and there are formulas you could use to compute this. Note that the n2 + 2n + 1 = (n + 1)2 n 2 + 2 …

Apr 21, 2015 · Explore related questions arithmetic factorial See similar questions with these tags.

Are there some good overviews of basic formulas about addition, multiplication and exponentiation of cardinals (preferably available online)?

Here, an example is given that the arithmetic mean (s) of 2, 4, 6, 8, 10 are 4, 6, and 8 (which should be 6). Our material also mentions about inserting arithmetic means between two numbers like "Insert 4 …

Sep 7, 2014 · The arithmetic mean is a number that when multiplied by the number of elements, gives you the sum of all the elements. Because of this fact, it can't be more than the maximum nor less …

Nov 30, 2011 · Some classical inequalities were familiar, like the arithmetic mean - geometric mean inequality and the Cauchy inequality (two-dimensional version). But others like the n-dimensional …

Can we define division similarly using only addition or subtraction?

Efficient arithmetic operations on a function basis linear-algebra functions numerical-methods arithmetic daw 55.9k

I've always wondered, is there an axiomatic approach to the arithmetic of ordinal numbers? If so, I imagine it would be on par with set theory in terms of its proof-theoretic strength.

May 9, 2019 · Skolem arithmetic is the first-order theory of the natural numbers with multiplication, ... So in notation this would be (N, ⋅) (N,) or Th(N, ⋅) Th (N,). That is, our language consists of just the …