Question

four students wrote sequences in math class.

angela: \\(-6, -9, -12, -15, \dots\\)
bradley: \\(-2, -6, -12, -24, \dots\\)
carter: \\(-1, -3, -9, -27, \dots\\)
dominique: \\(-1, -3, -9, -81, \dots\\)

which student wrote a geometric sequence?

angela
bradley
carter
dominique

Explanation:

Define geometric sequence condition

Using the Geometric Sequences and Common Ratio knowledge points

$$ r = \frac{a_{n}}{a_{n-1}} \quad \text{for all } n \ge 2 $$

Analyze Angela's sequence

Using the Arithmetic Sequences knowledge point

$$
LATEXBLOCK0
$$

Analyze Bradley's sequence

$$
LATEXBLOCK1
$$

Analyze Carter's sequence

Using the Geometric Sequences and Common Ratio knowledge points

$$
LATEXBLOCK2
$$

Analyze Dominique's sequence

$$
LATEXBLOCK3
$$

Answer:

• Angela
• Bradley
• Carter (Correct answer)
• Dominique