A man gets a job with a salary of $50,000 a year. He is promised an $1800 raise each subsequent year. Find his total earnings for a 10-year period
A) $\$ 518,000$
B) $\$ 851,000$
C) $\$ 1,581,000$
D) $\$ 481,000$
E)none of these

Question

Quizplus · Accepted Answer

This is an arithmetic sequence where the first term $a = 50,000$, the common difference $d = 1,800$, and the number of terms $n = 10$. The sum of an arithmetic series is given by $S_n = \frac{n}{2}[2a + (n-1)d]$. Plugging in the values, $S_{10} = \frac{10}{2}[2(50,000) + (10-1)(1,800)] = 5[100,000 + 16,200] = 5[116,200] = 581,000$. None of the provided options match this calculation.

A Man Gets a Job with a Salary of $50,000 $518,000\$ 518,000$518,000

A Man Gets a Job with a Salary of $50,000 $\$ 518,000$