Question

determine whether the sequence is an arithmetic sequence. justify your reasoning.
-10, -7, -4, 1, ...
this sequence
select choice
between its terms. this
select choice
an arithmetic sequence.

Explanation:

Step1: Calculate first difference

$(-7) - (-10) = 3$

Step2: Calculate second difference

$(-4) - (-7) = 3$

Step3: Calculate third difference

$1 - (-4) = 5$

Step4: Compare differences

Arithmetic sequences require constant differences. Here, $3
eq 5$, so the common difference is not consistent.

Answer:

This sequence does NOT have a common constant difference between its terms. This is NOT an arithmetic sequence.