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in Arithmetic Progression by (30.9k points)
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If the sum of first p term of an A.P. is ap2 + bp, find its common difference.

1 Answer

+1 vote
by (31.3k points)
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Best answer

Here, sp = ap2 + bp 

S1= a + b 

S2= ax22 + bx2 

= 4a + 2b 

S2 = a1 + a2 

4a + 2b = a1 + a2 

A2 = 4a + 2b – (a + b) 

A2 = 3a + b 

Now, d = common difference = a2 – a1 

= 3a + b – (a + b) 

= 2a

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