Q. 195.0( 5 Votes )

# Find the sum of first seven numbers which are multiples of 2 as well as of 9.

Given: numbers which are multiples of 2 as well as of 9.

To find: S7

Formula Used:

Sum of “n” terms of an AP:

Where Sn is the sum of first n terms

n = no of terms

a = first term

d = common difference

Explanation:

For finding, the sum of first seven numbers which are multiples of 2 as well as of 9.

Take LCM of 2 and 9 which is 18.

So, the series becomes 18, 36, 54, ….

Clearly this series is an AP.

Here, first term, a = 18

common difference, d = 36 – 18 = 18

Now as Sum of first n terms of an AP is

= 7[ 18 + 54]

= 504

Hence the required sum is 504

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