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First term and common difference of an A...

First term and common difference of an A.P. are 6 and 3 respectively : Find `S_27`

Text Solution

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The correct Answer is:
`S_(27)=1215`
Here, `a=6, d=3,S_(27)=?`
`S_(n)=(n)/(2)[[2a]=(n-1)d]` …(Formula)
`thereforeS_(27)=(27)/(2)[12+(27-1)xx[3]] " "|=12+26xx3`
`=(27)/(2)xx[90]`
`=(27)/(2)xx[90]" "|=12+78=90`
`thereforeS_(27)=[1215]`
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