Question

determine whether the sequence is an arithmetic sequence. justify your reasoning.
-3, 1, 5, 9, ...
this sequence
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between its terms. this
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an arithmetic sequence.

Explanation:

Step1: Calculate term differences

$1 - (-3) = 4$, $5 - 1 = 4$, $9 - 5 = 4$

Step2: Check difference consistency

All consecutive term differences equal 4.

Step3: Conclude sequence type

Arithmetic sequences have constant common differences.

Answer:

This sequence is an arithmetic sequence, because the difference between every pair of consecutive terms is a constant 4.