Statement I : If sum of n terms of a series is \[6{{n}^{2}}+3n+1,\] then the series is in AP. |
Statement II: The sum of n terms of an AP is always of the form an2 + bn. |
A) Statement I is true; Statement II is true; Statement II is not a correct explanation for Statement I,
B) Statement I is true; Statement II is false.
C) Statement I is false; Statement II is true.
D) Statement I is true; Statement II is true; Statements is the correct explanation for Statement I.
Correct Answer: C
Solution :
The sum of n terms of an AP \[=\frac{n}{2}[2A+(n-1)D],\]where A and D are first term and common difference. \[\therefore \]Statement I is false. It is true that sum always of the form an2 + bn. \[\therefore \]Statement II is true.You need to login to perform this action.
You will be redirected in
3 sec