The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.
-Carla takes a job with a starting salary of $26,000 for the first year with an annual increase of 6% beginning in the second year. What is Carla's salary, to the nearest dollar, in the seventh year?
A) $36,881
B) $37,395
C) $35,480
D) $39,162

Question

Quizplus · Accepted Answer

The sequence is geometric with a common ratio of 1.06. Carla's salary in the seventh year, calculated using the formula for the nth term of a geometric sequence $a_n = a_1 \cdot r^{(n-1)}$, where $a_1 = 26000$, $r = 1.06$, and $n = 7$, is approximately $36,881.

The General Term of a Sequence Is Given