Question
Sun September 27, 2009 By:

AP

Expert Reply
Sun September 27, 2009

let a and d be the first term and the common diff of the A.P.

Tm=1/n

and

Tn=1/m... given

 so

 a+(m-1)d=1/n...(i)

 

 

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

solving  (i) and (ii) we get

a=1/mn

d=1/mn

now

Tmn=a+(mn-1)d

=1/mn+[(mn-1)*(1/mn)]

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

=1

 

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