The sum of first 7 terms of an A.P. is 1...

The sum of first 7 terms of an A.P. is 10 and that of next 7 terms is 167. Find the progression.

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The correct Answer is:

`1+1""1/7,1""2/7,1""3/7`+….

`S_(7)=10 and S_(14) = (17+10) =27`
` 7/2 xx [2a +6a] =10 Rightarrow 7a +21d =10`
`and 14/2 xx[2a =13d] =27 Rightarrow 14a +91d =27`
Solve for a and d .

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