Question

In an ap the mth term is 1/n and nth term is 1/m find the mnth term

Answer 1

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

nth term = a+(n-1)d=1/m------(2)

(2)-(1)

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

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

d=1/mn

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

a+1/n-1/mn=1/n

a=1/mn

mnth term = a+(mn-1)d

= 1/mn+(mn-1)1/mn

=1/mn+1-1/mn

=1

Answer 2

Hey there !!


▶ Question :-

If the mth term of an AP be 1/n and its nth term be 1/m then find the (mn)th term.


➡ Given :-

→ a $\tiny m \large = \frac{1}{n} .$

→ a $\tiny n \large = \frac{1}{m} .$


➡ To find :-

→ a $\tiny mn$.


➡ Solution :-


▶ See the attachment.


✔✔ Hence, the (mn)th term of the given a AP is 1. ✅✅

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#BeBrainly.