Question

If the sum of first n terms of an AP is An+Bn2, where A and B are constants , the common difference of AP will be​

Answer 1

Answer:

If  S_{n} =a n^{2} +bn  

To Find  T_{n} = S_{n} - S_{n-1}  

∴ T_{n} =a( n^{2} - (n-1)^{2} )+b

= a(2n-1)+b

and d= T_{n} - T_{n-1}  

∴d=a(2n-1)+b -(a(2n-3)+b)=2a  

therefore common difference d=2a

Step-by-step explanation:

Answer 2

Answer:

yes,

The answer is 2A..