Question

this quiz will test your knowledge on geometic series.
value: 2
is this a geometric sequence or geometric series?
8, 15, 22, 29,...
a. geometric sequence
b. geometic series

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Explanation:

Step1: Identify sequence vs series

A sequence is a list of terms; a series is their sum. The given is a list: $8, 15, 22, 29,...$

Step2: Check geometric property

A geometric sequence has a common ratio $r = \frac{a_{n+1}}{a_n}$. Calculate ratios:
$\frac{15}{8}=1.875$, $\frac{22}{15}\approx1.467$, $\frac{29}{22}\approx1.318$. Ratios are not equal, so it is not geometric. However, the question only asks to classify as sequence or series.

Answer:

Note: The given list is an arithmetic sequence (not geometric), but among the options, the correct classification of the format is:
a. Geometric Sequence (correction: it is actually an arithmetic sequence, but it is a sequence, not a series)