Solve the problem.
-Jacie is considering a job that offers a monthly starting salary of $4000 and guarantees her a monthly raise of $170 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) $a _ { n } = 3830 + 170 n ; \$ 5870$
B) $a _ { n } = 4000 + 170 n ; \$ 6040$
C) $a _ { n } = 3830 + 170 ( n - 1 ) ; \$ 5700$
D) $a _ { n } = 4000 + 170 n ; \$ 5870$

Question

Solve the problem.
-Jacie is considering a job that offers a monthly starting salary of $4000 and guarantees her a monthly raise of $170 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) $a _ { n } = 3830 + 170 n ; \$ 5870$
B) $a _ { n } = 4000 + 170 n ; \$ 6040$
C) $a _ { n } = 3830 + 170 ( n - 1 ) ; \$ 5700$
D) $a _ { n } = 4000 + 170 n ; \$ 5870$

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 and $d$ is the common difference. Here, $a_1 = 4000$ and $d = 170$, so the correct formula should be $a_n = 4000 + 170(n - 1)$. However, the correct monthly salary at the end of the first year, after 12 raises, is $4000 + 170 \times 11 = 5870$, which matches option A after correcting for the initial term misunderstanding.

Solve the Problem an=3830+170n;$5870a _ { n } = 3830 + 170 n ; \$ 5870an​=3830+170n;$5870

Solve the Problem $a _ { n } = 3830 + 170 n ; \$ 5870$