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Question: The T<sub>p</sub> = q and T<sub>q</sub> = p for an A.P. then T<sub>r</sub>=...

The Tp = q and Tq = p for an A.P. then Tr=

A

p + q + r

B

p + q – r

C

p – q + r

D

None of these

Answer

p + q – r

Explanation

Solution

Tp = a + (p –1) d = q

Tq = a + (q –1) d = p

by solving a = p + q –1, d = –1