# General Term of Arithmetic Sequence that Models the Potential Annual Salaries

**Problem**

A job posted at jobstreet.com offered a starting salary of \$40,000 per year and guaranteeing a raise of \$1600 per year for the rest of 5 years. Write the general term for the arithmetic sequence that models potential annual salaries.

*a*= 38,400 + 1600

_{n}*n*

B.

*a*= 33,400 + 2600

_{n}*n*

C.

*a*= 36,400 + 1400

_{n}*n*

D.

*a*= 34,400 +1800

_{n}*n*

**Answer Key**

[ A ]

**Solution**

$a_n = a_1 + (n - 1)d$

$a_n = 40,000 + (n - 1)(1600)$

$a_n = 40,000 + 1600n - 1600$

$a_n = 38,400 + 1600n$ ← Answer: [ A ]

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