Let S(n) denote the sum of the first n ...

Let `S_(n)` denote the sum of the first n terms of an A.P.. If `S_(4)=16 and S_(6)=-48`, then `(S_(10))/(-80)` is equal to ____________.

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The correct Answer is:

4

`S_(4)=2|2a+3d|=16 rArr 2a+3d=8`
`S_(6)=3|2a+5d|=-48" "2a+5d=-16`
`2d=24 rArr d=12`
`a=22`
`S_(10)=5|44-108|=-5xx64=-320`

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