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Find the sum of first seven numbers whic...

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

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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, …
Here first term (a) = 18, common difference (d)`=36-18=18`
` :. S_(7)=(n)/(2)[2a+(n-1)d]=(7)/(2)[2(18)+(7-1)18]`
` " " =(7)/(2)[36+6xx18]=7(18+3xx18)`
` " " =7(18+54)=7xx72=504`
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NCERT EXEMPLAR-ARITHMETIC PROGRESSIONS-Arithmetic Progressions
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