Question

Jocelyn just accepted a job at a new company where she will make an annual salary of $70000. Jocelyn was told that for each year she stays with the company, she will be given a salary raise of $1500. How much would Jocelyn make as a salary after 8 years working for the company? What would be her salary after tt years?

Answer 1

$80,500

55,500 + 1,500t

Explanation:

The question is an arithmetic progression series

Where,

a= first term

d= common difference

n= number of terms

a = $70,000

d= $1,500

n= 8 years

8th term = a + (n-1) d

= 70,000 + (8-1)1500

= 70,000 + 7(1500)

= 70,000 + 10,500

= $80,500

Jocelyn salary after 8 years is $80,500

Solve for when n = t

t th term = a + (n-1)d

= 70,000 + (t - 1)1500

= 70,000 + 1,500t - 1,500

= 55,500 + 1,500t

t th term = 55,500 + 1,500t