Statement-1 : If Sn=∑k=1n ak=3n2+2n−7 for each n,then a1,a2,a3,…are in APStatement-2 : Sum to n terms of an A.P. is always of the form an2+bn

Statement-1 : If $S_{n} = \sum_{k = 1}^{n} a_{k} = 3 n^{2} + 2 n - 7$ for each $n$ ,then $a_{1}, a_{2}, a_{3}, \dots$ are in AP
Statement-2 : Sum to n terms of an A.P. is always of the form $a n^{2} + b n$

A
STATEMENT $- 1$ is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
B
STATEMENT-1 is True, STATEMENT $- 2$ is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
C
STATEMENT $- 1$ is True, STATEMENT-2 is False
D
STATEMENT-1 is False, STATEMENT $- 2$ is True

Solution:

Sum to n terms of an A.P. is of the form $a n + b n^{2}$

and not of the form $n c + b n + a n^{2}$ where $c \neq 0$

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