Question

If the sum of first p term of an AP is ap? + bp, find its common difference.​

Answer 1

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Step-by-step explanation:

Sp = ap2 + bp

S1 = a x 1 + b x 1

    = a + b = a1

S2 = a x 2^2 + b x 2

     = 4a +2b

S2 = a1 + a2

a2 = S2 - a1

a2 = 4a + 2b - (a+b)

    = 3a +b

d = a2 - a1

  = 3a + b - (a+b)

  = 2a