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1. the sum of first p terms is (ap)^2+bp then find d? 2. how many 3 digit terms are divisible by 6 remaining 1 ?
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1. the sum of first p terms is (ap)^2+bp then find d? 2. how many 3 di...
Given that the sum of p terms of an AP is ap2 + bp.

Now, Put p = 1,2,3,...

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

S1 = a + b = a1

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

S2 = 4a + 2b

Now, S2 = a1 + a2

4a + 2b = a + b + a2

4a + 2b - a - b =  a2

3a + b = a2

Common difference, d = a2 - a1

d = 3a + b - (a + b) 

d = 3a + b - a - b

d = 2a
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1. the sum of first p terms is (ap)^2+bp then find d? 2. how many 3 digit terms are divisible by 6 remaining 1 ?
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