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CBSE Class 11-science Answered

AP
Asked by | 27 Sep, 2009, 12:11: PM
answered-by-expert Expert Answer

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

 

Answered by | 27 Sep, 2009, 02:09: PM

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