Solve the problem.
-A financial planner predicts that a certain stock will increase in value $17 \%$ each year. Thus, the yearly stock values can be modeled by a geometric sequence whose common ratio $r$ is $1.17$. If the initial stock value was $\$ 33$, write the first five terms of the sequence. Round to the nearest cent, if necessary.
A) $\$ 33 , \$ 45.17 , \$ 52.85 , \$ 61.84 , \$ 72.35$
B) $\$ 33 , \$ 34.17 , \$ 35.34 , \$ 36.51 , \$ 37.68$
C) $\$ 38.61 , \$ 45.17 , \$ 52.85 , \$ 61.84 , \$ 72.35$
D) $\$ 33 , \$ 38.61 , \$ 45.17 , \$ 52.85 , \$ 61.84$

Question

Quizplus · Accepted Answer

The sequence is generated by multiplying the initial value by $1.17$ for each subsequent year. The first term is $\$33$, and each term after is found by multiplying the previous term by $1.17$. Calculating the first five terms gives $\$33$, $\$38.61$, $\$45.17$, $\$52.85$, $\$61.84$.

Solve the Problem 17%17 \%17% Each Year Thus, the Yearly Stock Values Can Be Modeled by Stock

Solve the Problem $17 \%$ Each Year Thus, the Yearly Stock Values Can Be Modeled by Stock