1.

The sum of numbers lying between 10 and 200 which is divisible by 7 will be

Answer»

The QUESTION is related to arithmetic progression.

We have,
First MULTIPLE of 7 between 10 and 200 is 14 (first term of an AP)

Last multiple of 7 between 10 and 200 is 196
(last term of an AP)
We have, multiples of 7 between 10 and 200 is 27; and sum of multiples of 7 between 10 and 200 is the same as sum of terms in an AP

So by USING the formula of sum of terms in an AP as
\frac{n}{2} (first \: term \: + last \: term)
We get the sum of multiples of 7 as
\frac{27}{2} (14 + 196)
=2835


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