Question

determine whether the sequence is an arithmetic sequence. justify your reasoning. -6, -5, -3, -1, ... this sequence select choice between its terms. this select choice an arithmetic sequence.

Explanation:

Step1: Calculate consecutive term differences

$(-5) - (-6) = 1$
$(-3) - (-5) = 2$
$(-1) - (-3) = 2$

Step2: Compare the differences

The differences between consecutive terms are not constant (1, 2, 2...). An arithmetic sequence requires a common, constant difference between all consecutive terms.

Answer:

This is NOT an arithmetic sequence, because the difference between consecutive terms is not constant.