Question

If the mth term of H.P is ‘n’ and nth term is m, prove that (m + n)th is mn/(m + n)

Answer 1

Given mth term of H.P is n,

∴ mth term of A.P = 1/n = a + (m – 1)d

Also nth term of HP is m.

∴ nth term of A.P = 1/m = a + (n – 1)d

a + (m – 1)d = 1/n…… (1)

a + (n – 1)d = 1/m…… (2)

Solving (1) and (2)