JEE Main · MathematicsEasy

$If the sum of the first n terms of an arithmetic progression is given by S_{n} = 3 n^{2} + n, find the common difference of the progression.$

A. $3$
B. $6$
C. $4$
D. $2$

Show correct answer & step-by-step solution

Correct answer: B — $6$

Solution

The n^{th} term is given by a_{n} = S_{n} - S_{n - 1} . Calculating this gives a_{n} = 6 n - 2, and the common difference is the coefficient of n, which is 6 .

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