Question

Sum of all even numbers from 1-100

Answer 1

2,4,6,8,........100

An=100

a=2

n=?

Sn=?

d=2

An=a+(n-1)d

100=2+2n-2

100=2n

n=100/2

n=50

Sn=n/2[2a+(n-1)d]

Sn=50/2[4+49*2]

Sn=25[98+4]

Sn=25*102

Sn=2550

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