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Discussion

If the sum of 5 terms of an A.P. is 75, find the 3rd term.

  • A.10
  • B.15
  • C.20
  • D.25

Answer: B

For an A.P. with an odd number of terms, the sum is equal to the number of terms multiplied by the middle term. Here, the sum of 5 terms is 75. The middle term is the 3rd term. So, \(5 \times a_3 = 75 \Rightarrow a_3 = 75/5 = 15\).

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