1.

In an AP if Tp=q and Tq=p. Find Tp+q.

Answer»

T(p)=a+(p−1)d=qT(q)=a+(q−1)d=p

Subtracting 1st equation from the 2nd.

d(p−q)=q−p

d=−1

Now we will substitute d in the first equation

a+(p−1).(−1)=q

a=p+q−1

Now we will use the values of a and d in the equation stated below

T(p+q)=a+(p+q−1)d

=p+q−1+(p+q−1).(−1)

=0 ans



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