Solve the problem.
-Jacie is considering a job that offers a monthly starting salary of $3000 and guarantees her a monthly raise of $130 during her first year on the job. Find the general term of this arithmetic sequence and her monthly salary at
The end of her first year.
A) $a _ { n } = 2870 + 130 n ; \$ 4430$
B) $a _ { n } = 3000 + 130 n ; \$ 4560$
C) $a _ { n } = 3000 + 130 n ; \$ 4430$
D) $a _ { n } = 2870 + 130 ( n - 1 ) ; \$ 4300$

Question

Solve the problem.
-Jacie is considering a job that offers a monthly starting salary of $3000 and guarantees her a monthly raise of $130 during her first year on the job. Find the general term of this arithmetic sequence and her monthly salary at
The end of her first year. 
A) $a _ { n } = 2870 + 130 n ; \$ 4430$
B) $a _ { n } = 3000 + 130 n ; \$ 4560$
C) $a _ { n } = 3000 + 130 n ; \$ 4430$
D) $a _ { n } = 2870 + 130 ( n - 1 ) ; \$ 4300$

Quizplus · Accepted Answer

The general term of an arithmetic sequence is given by $a_n = a_1 + (n - 1)d$, where $a_1$ is the first term, $d$ is the common difference, and $n$ is the term number. Here, $a_1 = 3000$ and $d = 130$, so the general term is $a_n = 3000 + (n - 1)130$. However, the correct formula should adjust the starting point to align with the sequence's progression, making $a_n = 2870 + 130n$ a better fit, considering the sequence's structure. For the salary at the end of the first year (12th month), it should be $a_{12} = 2870 + 130 \times 12 = 4430$, which matches option A.

Solve the Problem an=2870+130n;$4430a _ { n } = 2870 + 130 n ; \$ 4430an​=2870+130n;$4430

Solve the Problem $a _ { n } = 2870 + 130 n ; \$ 4430$