Question

If p,q and r are in AP then find the sum of r and p in terms of 'q'.
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Answer 1

Answer:

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Step-by-step explanation:

Given p,q,r are in AP

∴q−p=r−q (distance between p & q is equal to distance between q & r)

∴2q=r+p......(1)

LHS=(p+2q−r)(2q+r−p)(r+p−q)

=(p+r+p−r)(r+p+r−p)(r+p−q) [∵ from eqn (1) sub for 2q]

=2p.2r(2q−q) (from eqn (1))

=4pqr

=RHS