Question

if m th term of an AP be 1/n and n th term be 1/m . then show that mn th term is 1. plzzzzzz give the answer quickly it's so urgent..

Answer 1

Tm = 1/n & Tn = 1/m

a +(m-1)d = 1/n

a + (n-1)d = 1/m

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(m-n)d = m-n/mn

d = 1/mn , & a = 1/mn

now , Tmn = a +(mn-1)d = 1/mn +(mn-1) x 1/mn

=1 +mn-1 / mn = mn/mn = 1.....hence prooved!!

hope ths hlps u ..!!