Math, asked by ryzenOP, 1 year ago

prove sum of all natural numbers = -1/12​

Answers

Answered by Anonymous
3

Answer:

Step-by-step explanation:

120

Let

S=1+2+...+(n−1)+n.

Write it backwards: S=n+(n−1)+...+2+1. Add the two equations, term by term; each term is n+1, so

2S=(n+1)+(n+1)+...+(n+1)=n(n+1).

Divide by 2:

S=n(n+1)2


ryzenOP: its not full explanation
Anonymous: ok wait
Answered by Anonymous
3

Answer:

Step-by-step explanation:

120

Let

S=1+2+...+(n−1)+n.

Write it backwards: S=n+(n−1)+...+2+1. Add the two equations, term by term; each term is n+1, so

2S=(n+1)+(n+1)+...+(n+1)=n(n+1).

Divide by 2:

S=n(n+1)2

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