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If the \(m^{\text{th}}\) term of an arithmetic progression is \(\frac{1}{n}\) and the \(n^{\text{th}}\) term is \(\frac{1}{m}\), then the \(mn^{\text{th}}\) term of this progression will be

Question and options

If the mthm^{\text{th}} term of an arithmetic progression is 1n\frac{1}{n} and the nthn^{\text{th}} term is 1m\frac{1}{m}, then the mnthmn^{\text{th}} term of this progression will be
  1. 1mn\frac{1}{mn}
  2. mn\frac{m}{n}
  3. nm\frac{n}{m}
  4. 11

Answer and explanation

Correct answer: D - \(1\)
Subtracting the mth term from the nth term gives d = 1/(mn), and then a = 1/(mn). The mn-th term = a + (mn - 1)d = mn/(mn) = 1.

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  • JIPMAT

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