Question

complete this assessment to review what youve learned. it will not count toward your grade. which of the following statements correctly describes the sequence 3, 8, 13, 18,...? statement #1: it is an arithmetic sequence. statement #2: it is a geometric sequence. (1 point) statement #\boxed{1} correctly describes the sequence. check answer remaining attempts : 3

Explanation:

Step1: Recall arithmetic sequence definition

An arithmetic sequence has a common difference \(d\) between consecutive terms, where \(d = a_{n + 1}-a_{n}\) for all \(n\).
For the sequence \(3, 8, 13, 18, \dots\):
\(8 - 3 = 5\), \(13 - 8 = 5\), \(18 - 13 = 5\). So the common difference \(d = 5\), so it is an arithmetic sequence.

Step2: Recall geometric sequence definition

A geometric sequence has a common ratio \(r\) between consecutive terms, where \(r=\frac{a_{n + 1}}{a_{n}}\) for all \(n\).
For the sequence \(3, 8, 13, 18, \dots\):
\(\frac{8}{3}
eq\frac{13}{8}
eq\frac{18}{13}\), so there is no common ratio. Thus, it is not a geometric sequence.

Answer:

Statement #1 correctly describes the sequence.