Sep 11, 2015 · Sum of first n natural numbers proof Ask Question Asked 10 years, 4 months ago Modified 4 years, 8 months ago

Closed 11 years ago. I was going over the problem of finding the number of squares in a chessboard, and got the idea that it might be the sum of squares from 1 1 to n n. Then I …

Jul 7, 2019 · If you set n = 6 n = 6, you are calculating the sum of the first six even numbers, and indeed 2 + 4 + 6 + 8 + 10 + 12 = 42 2 + 4 + 6 + 8 + 10 + 12 = 42 So, there is nothing wrong …

Think of pairing up the numbers in the series. The 1st and last (1 + n) the 2nd and the next to last (2 + (n - 1)) and think about what happens in the cases where n is odd and n is even.

The sequence a(n) =12 +22+... +n2 a (n) = 1 2 + 2 2 + + n 2 is neither geometric nor arithmetic. The difference between the consecutive terms is 4, 9, 16 and so on, which doesn't help. Could …

where Fn F n is the nth Fibonacci number. But the sentence "I noticed that" is not a sufficient demonstration; I tried a lot but I couldn't find a correct demonstration. How can I find it?

Jun 17, 2015 · Proving “The sum of n n consecutive cubes is equal to the square of the sum of the first n n numbers.” Ask Question Asked 10 years, 6 months ago Modified 2 years, 3 months ago

(where the arithmetic was done in my head as I was typing). Without that knowledge (or something comparable, like the formulas for the sums of consecutive squares and cubes) it …

May 31, 2016 · Possible duplicate of How to get to the formula for the sum of squares of first n numbers?

Jun 3, 2021 · For you to get the sum of the first n n numbers using the formula for odd and even numbers, you have to consider the case where n n is odd and n n is even. When n n is even, …