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 term of an arithmetic progression is and the term is , then the term of this progression will be
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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