Question

The sum of integers divisible by 5 from 50 to 85

Answer 1

Ans: 540

step by step procedure

Integers divisible by 5 from 50 to 85 are

50 , 55, 60, 65, 70, 75, 80, 85

sum of the integers divisible by 5 = 540

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Answer 2

Given,

The integers should be divisible by 5 and should be from 59 to 85.

To find,

The sum of integers divisible by 5 from 50 to 85.

Solution,

The sum of integers divisible by 5 from 50 to 85 will be 540.

We can easily solve this problem by following the given steps.

Now, we know that the integers ending only with 0 and 5 are divisible by 5.

So, the integers divisible by 5 from 50 to 85 will be 50,55,60,65,70,75,80 and 85.

There are a total of 8 terms divisible by 5 from 50 to 85.

This series is an A.P. because the difference between the first term and second term is common.

Common difference (d) = second term - first term

d = 55-50

d = 5

The first term (a) is 50 and the last term (l) is 85.

Using the formula to find the sum of the series,

Sn = n/2 (a+l)

S8 = 8/2 (50+85)

S8 = 4 (50+85)

S8 = 4 × 135

S8 = 540

Hence, the sum of the integers divisible by 5 from 50 to 85 is 540.