Question

0.1. If the sum of first p terms of an AP. is ap2 + bp, find its common difference​

Answer 1

Answer:

d= 2a

Step-by-step explanation:

Sp = ap2 + bp

a1 = S1 = a(1)2+b(1) = a+b

S2 = a(2)2+b(2) = 4a+2b

S2 = a1 + a2

a2 = s2-a1 = (4a+2b)-(a+b) = 4a+2b-a-b = 3a+b

d = a2-a1 = 3a+b-a-b = 2a