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If the Sum of N Terms of an A.P. Be 3 N2 − N and Its Common Difference is 6, Then Its First Term is

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Question

If the sum of n terms of an A.P. be 3 n2 − n and its common difference is 6, then its first term is

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Solution

2

\[S_n = 3 n^2 - n\]

\[ \Rightarrow S_1 = 3 \left( 1 \right)^2 - 1\]

\[ \Rightarrow S_1 = 2\]

\[ \therefore a_1 = 2\]

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