Question

We have a h.p. whose 7th term is 1/10 and 12th term is 1/25. find the 20th term and hence the nth term.

Answer 1

we know that inverse of HP forms ap
thus t7 = 10 d t12 = 25
thus 5d = 15
thus d= 3
thus a = -11
thus t20= 1/-11+19x3 = 1/ 46
thus tn =
$\frac{1}{ - 11 + 3(n - 1)}$

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