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Progression [#permalink] New post 25 Apr 2010, 12:22
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The Sum of 3rd & 15th elements of an AP is equal to the sum of 6th 11th &13th elements of the same AP then which of the series should necessarily be equal to zero.

a)1st
b)9th
c)12th
d)3rd
e)15th
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Re: Progression [#permalink] New post 25 Apr 2010, 12:27
ISB2011 wrote:
The Sum of 3rd & 15th elements of an AP is equal to the sum of 6th 11th &13th elements of the same AP then which of the series should necessarily be equal to zero.

a)1st
b)9th
c)12th
d)3rd
e)15th



IMO C

as per question take 1st term as a and difference as d

a+2d + a+14d = a+5d + a+10d + a+12d

=> a+11d = 0 which is the 12th term
a+11d = a+(n-1)d => n-1 = 11 => n =12
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Re: Progression   [#permalink] 25 Apr 2010, 12:27
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