NSTSE Practice Questions - National Level Science Talent Search Examination (NSTSE) Exam

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If the sum of the first $n$ terms of an Arithmetic Progression is given by $S_n = 3n^2 + 5n$, what is its common difference ($d$) and its 12th term ($a_{12}$)?

d = 6, a_12 = 74 d = 3, a_12 = 41 d = 6, a_12 = 77 d = 5, a_12 = 65

Correct Answer:

d = 6, a_12 = 74

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