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Class 10 > How to add 1+2+3+4+....+100
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How to add 1+2+3+4+....+100

A
Akhilesh Choudhary
09/03/2017 0 0

Simple trick 

Let X=1+2+3+...+100

Now add same series in reverse order as

100+99+98+........+1  = X

Now 2X = 101+101+101+101+......100times 

So 2X= 101*100

2X= 10100

X=5050

This formula comes like this = n(n+1)/2 where n is the last number of the series 

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