Maths-

General

Easy

Question

# The sum of all integers between 50 and 500 which are divisible by 7 is

- 18696
- 15696
- 17696
- 14696

Hint:

### Find the number of terms in the series. Then find sum to n terms by the formula.

## The correct answer is: 17696

### Detailed Solution

The series of integers divisible by 7 between 50 and 500 are 56, 63, 70, …, 497

Let the number of terms be ‘n’

So, a = 56, d = 63-56 = 7, = 497

To find number of terms, use formula

Substituting the known values in above

Now by using the formula

Thus, the sum of all integers between 50 and 500 which are divisible by 7 is 17696.

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