For an AP show that ap+ ap 2q 2ap+q – InterviewSolution

InterviewSolution

1.

For an AP show that ap+ ap 2q 2ap+q

Answer»

LHS =ap +ap+2q =

{a+(p-1)d} + {a +(p+2q-1)d}

a + dp -d + a +dp +2dq-d

2a +2pd -2d +2dq=2(a+dp-d+dq)

RHS

{a + (p+q-1)d}2

(a+dp+dq-d)2

LHS= RHS

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