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In any A.P. if sum of first six terms is...

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

Text Solution

Verified by Experts

The correct Answer is:
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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  12. The first term of an A.P. is a and the sum of first p terms is zero, s...

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  13. If Sn denotes the sum of first n terms of an A.P. and (S(3n)-S(n-1))/(...

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  14. The number of terms of an A.P. is even; the sum of the odd terms is 24...

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  15. The number of terms of an A.P. is even; the sum of the odd terms is 24...

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  16. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

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  19. ABC is a right-angled triangle in which angleB=90^(@) and BC=a. If n p...

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