Question

If mth term of ap is 1/n and nth term is 1/m find the (mn):th term

Answer 1

Answer:

$[tex]a + (m)d = \frac{1}{m} \\ a + (m)d = \frac{1}{n} \\ \frac{1}{n} - \frac{1}{m} = (m + 1 - n - 1) \\ \\ \frac{m - n}{mn} = (m + n)d \\ \\ (d = \frac{1}{mn})(a = \frac{1}{mn}) \\ mn = a + (mn - 1)d \\ \frac{1}{mn} + \frac{mn - 1}{mn} = 1$