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A sequence is called an A.P if the diff...

A sequence is called an A.P if the difference of a term and the previous term is always same i.e if `a_(n+1)- a_(n)= ` constant ( common difference ) for all `n in N `
For an A.P whose first term is 'a ' and common difference is d is
`S_(n) = n/2 (2a +(n-1)d)=n/2 (a+a+(n-1)d)= n/2 (a+l)`

1. A sequence whose `n^(th)` term is given by `t_(n) = An + N ` , where A,B are constants , is an A.P with common difference
A. 2
B. 1
C. A
D. B

If sum of n terms `S_n` for a sequence is given by `S_n=An^2+Bn+C`, then sequence is an A.P. whose common difference is
A. A
B. B
C. 2A
D. 2B

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