Question

If the mth term of an ap is 1/n and nth term is 1/m,show that (mn) th term is 1

Answer 1

Hope this may help u.....

Answer 2

1/n=a+(m−1)d

1/m=a+(n−1)d

Subtracting

m−n/mn=(m−n)d
d=1/mn

substituting the value of d equation 1

a=1/n−(m−1)/mn

Tmn=a+(mn−1)d

=a+(mn−1)/mn

=1/n−(m−1)/mn+(mn−1)/mn

=1/n+(n−1)/n

=(n−1+1)/n

=n/n

=1