Statement-1 : The series for which the sum to $n$ terms $(n \geq 1), S_{n}$ is given by $S_{n} = 3 n^{2} + 4 n +$ 5 is an arithmetic progression (AP).
Statement-2 : The sum to $n$ terms of an AP having non-zero common difference is a quadratic in n .

Question

Statement-1 : The series for which the sum to $n$ terms $(n \geq 1), S_{n}$ is given by $S_{n} = 3 n^{2} + 4 n +$ 5 is an arithmetic progression (AP).

Statement-2 : The sum to $n$ terms of an AP having non-zero common difference is a quadratic in n .

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CONCEPTUAL

Mathematics - Sequence & Series Question with Solution | TestHub

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JEE Main (2026)