Given sum of the first $n$ terms of an $A.P.$ is $2n + 3n^2.$ Another $A.P.$ is formed with the same first term and double of the common difference, the sum of $n$ terms of the new $A.P.$ is
Given sum of the first $n$ terms of an $A.P.$ is $2n + 3n^2.$ Another $A.P.$ is formed with the same first term and double of the common difference, the sum of $n$ terms of the new $A.P.$ is
- [JEE MAIN 2013]
- A
$n + 4n^2$
- B
$6n^2 - n$
- C
$n^2 + 4n$
- D
$3n + 2n^2$
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- [JEE MAIN 2021]
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