Question

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

Answer 1

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

Answer 2

Answer:

2835 is your required answer