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How to solve arithmetic series easily without remembering any formula?

Anand Prakash

23/05/2017 0 0

1+2+3+4+5+.........100(100 terms)

it can be seen as follows:

1+2+3+4+5+.......+95+96+97+98+99+100

can be rewritten as follows:

(1+100)+(2+99)+(3+98)+(4+97)+(5+96)........so on

every term become 101 this way and the number of such terms will be half as it was before

so before it was 100 terms, now it is 50 terms.

101+101+101+101+101+.......added 50 times

which is 101*50=5050

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