The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.
-$$a _ { n } = 2 n - 4$$
A) arithmetic, $\mathrm { d } = 2$
B) geometric, $r = 2$
C) arithmetic, $\mathrm { d } = - 4$
D) neither

Question

Quizplus · Accepted Answer

The given sequence is arithmetic because each term increases by a constant value, which is 2. This is evident from the formula $a_n = 2n - 4$, where the difference between successive terms ($a_{n+1} - a_n$) is always 2.

The General Term of a Sequence Is Given an=2n−4a _ { n } = 2 n - 4an​=2n−4

The General Term of a Sequence Is Given $a _ { n } = 2 n - 4$