MP Board · Class 11 · Mathematics · Sequences and SeriesIf the sum of $n$ terms of an A.P. is given by $Sn = 3n^2 + 5n$, then find its 2nd term.
The second term of an A.P. can be found using the relation $a_2 = S_2 - S_1$. First, calculate $S_1$ (which is equal to $a_1$): $S_1 = 3(1)^2 + 5(1) = 3 + 5 = 8$. Next, calculate $S_2$: $S_2 = 3(2)^2 + 5(2) = 3(4) + 10 = 12 + 10 = 22$. Now, $a_2 = S_2 - S_1 = 22 - 8 = 14$. Therefore, the correct option is B.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.