Question

find the sum of all numbers from 50 to 250 which are divisible by 6

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Answer 1

Hey..!
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Smallest no.which is divisble by 6=54
largest no.=348

No.of terms in the AP=no.of the last term
a+(n-1)d=348

54+(n-1)6=348

(n-1)6=348-54=294

n-1=294/6=49

n=49+1=50

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

=50/2(2(54)+49(6))

=25(108+294)

=25(402)

=10030

a15=54+14(6)

=54+84

=138 Ans.

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