Find the general term, $a_n$, of the given arithmetic sequence
-$3,12,21,30,39, \ldots$
A) $a_{n}=3(3 n-2)$
B) $a_{n}=6 n-9$
C) $a_{n}=3(9)^{n-1}$
D) $a_{n}=9 n-2$

Question

Quizplus · Accepted Answer

The given sequence is arithmetic with a common difference of 9 (12 - 3 = 9, 21 - 12 = 9, etc.). The first term, $a_1$, is 3. The general term of an arithmetic sequence is given by $a_n = a_1 + (n-1)d$, where $d$ is the common difference. Substituting $a_1 = 3$ and $d = 9$, we get $a_n = 3 + (n-1)9 = 3 + 9n - 9 = 9n - 6$, which simplifies to $3(3n - 2)$, matching option A.

Find the General Term ana_nan​ , of the Given Arithmetic Sequence -

Find the General Term $a_n$ , of the Given Arithmetic Sequence
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