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Formula for Sum of n Terms of an AP

If the sum of...

Question

If the sum of n terms of an A.P. be $3 n^{2} - n$ and its common difference is 6, then its first term is

A

2

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B

3

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C

1

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D

None of these

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Solution

The correct option is A
2

$S_{n} = 3 n^{2} - n$

$\Rightarrow S_{1} = 3 (1)^{2} - 1$

$\Rightarrow S_{1} = 2$

$∴ a_{1} = 2$

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