Question

If mth term of an AP is 1/n and the nth term is 1/m . Find its mnth term

Answer 1

Answer:

1

Step-by-step explanation:

am=1/n   an=1/m

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

an=a+(n-1)d=1/m........2

sub. 1 and 2

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

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

d=1/mn

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

a=1/mn

amn =a+(mn-1)d

       =   1/mn+1-1/mn

       =    1