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Question

The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero?
  1. 12th
  2. 11th
  3. 9th
  4. 8th
  5. 7th


Solution

The correct option is A 12th

SolnLet the first term be a

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

=> a+11d=0. The 12th term is necessarily zero. Answer is option (a)

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