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In any A.P. if sum of first six terms is 5 times the sum of next six terms then which term is zero?

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In any A.P. if sum of first six terms is 5 times the sum of next six terms then which term is zero?
A. 10 th
B. 11 th
C. 12 th
D. 13 th
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Correct Answer - B
According to the question,
`6/2(t_(1)+t_(6))=5xx6/2(t_(7)+t_(12))`
`rArrt_(1)+(t_(1)+5d)=5(t_(1)+6d+t_(1)+11d)`
`rArr2t_(1)+5d=10t_(1)+85d`
`rArr8t_(1)+80d=0`
`rArrt_(1)+10d=0`
`rArrt_(11)=0`
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