Use the formula for $a_{n}$ to find the general term for the arithmetic sequence.
-$-14,-10,-6,-2,2$
A) $a_{n}=5 n-19$
B) $\mathrm{a}_{\mathrm{n}}=4 \mathrm{n}-18$
C) $a_{n}=5 n+18$
D) $a_{n}=18 n-4$

Question

Quizplus · Accepted Answer

The common difference ($d$) in the sequence is $4$ (since each term increases by $4$). The first term ($a_1$) is $-14$. The formula for the $n$th term of an arithmetic sequence is $a_n = a_1 + (n-1)d$. Substituting $a_1 = -14$ and $d = 4$ gives $a_n = -14 + (n-1)4 = 4n - 18$, which matches option B.

Use the Formula For ana_{n}an​ To Find the General Term for the Arithmetic Sequence

Use the Formula For $a_{n}$ To Find the General Term for the Arithmetic Sequence