Jan 12, 2015 · Sum of consecutive numbers Ask Question Asked 10 years, 11 months ago Modified 2 years, 9 months ago

Possible Duplicate: Proof for formula for sum of sequence $1+2+3+\ldots+n$? Is there a shortcut method to working out the sum of n consecutive positive integers?

Sep 19, 2017 · Strictly speaking, this proof isn't valid because it uses the formula it's trying to prove to establish the base case. Better to simply compute the "sum" of the first triangular number explicitly.

Jan 4, 2023 · Like there are 200 numbers consecutive postive numbers and i need to find sum for it? I also need formula for consecutive postive even, odd sums. Thanks in advance.

Sep 7, 2016 · The whole formula is based on the idea that you can count the average of the sequence from the first and last number, because if we have a regular gap between numbers, then the average …

Oct 13, 2014 · Calculating sum of consecutive powers of a number Ask Question Asked 11 years, 2 months ago Modified 3 years, 1 month ago

May 16, 2016 · The sum of $a$ consecutive odd numbers is a difference of squares $ (n + a)^2 - n^2 = a (a + 2n)$.

Jan 21, 2019 · I understand how to derive the formulas for sum of squares, consecutive squares, consecutive cubes, and sum of consecutive odd numbers but I don't understand the visual proofs for …

All the positive numbers can be expressed as a sum of one, two or more consecutive positive integers. For example $9$ can be expressed in three such ways, $2+3+4$, $4+5$ or simply $9$. In how many...

Jun 17, 2015 · With fourth and higher powers there is no repetition, but there are gaps between the sets of odd numbers being summed: $$1^4 +2^4 +3^4 +4^4 = 1 + (7+9) + (25+27+29) + …