Find a general term, $a_{n}$, for the given terms of the sequence.
-$-4,-8,-12,-16,-20, \ldots$
A) $a_{n}=-4 n+1$
B) $a_{n}=-\frac{1}{4}$
C) $a_{n}=-4 n$
D) $\mathrm{a}_{\mathrm{n}}=4 \mathrm{n}$

Question

Quizplus · Accepted Answer

The sequence is an arithmetic sequence with a common difference of -4. The first term, $a_1$, is -4. Therefore, the general term $a_n$ can be found using the formula for the nth term of an arithmetic sequence, which is $a_n = a_1 + (n-1)d$, where $d$ is the common difference. Substituting $a_1 = -4$ and $d = -4$, we get $a_n = -4 + (n-1)(-4) = -4n$, which matches option C.

Find a General Term ana_{n}an​ , for the Given Terms of the Sequence

Find a General Term $a_{n}$ , for the Given Terms of the Sequence