Assistant on sequences

Question

The entry level salary for a teacher is $24000 with a 3% increase after every year of service. Write a sequence for the first 5 years of service.

 

Find the general term of sequence on part A

Answer 1

Do you know how to find 3% of something?  You multiply that something by 0.03. That's the amount of increase, so you add it to get the next year's salary.

 

A smart way to accomplish the above is to multiply the previous year's salary by 1.03--this incorporates 1 times the salary PLUS 3% increase.

 

The general term for year new salary for the coming year, after n years of service, is 24,000(1.03ⁿ)^.

 

(If n = 0, the factor 1.03⁰ is just ONE so that means the first year's salary (0 prior years) is 24,000)

 

I'll leave the various calculations to you.  Remember, just multiply prior year's salary by 1.03 to get the salary for the following year.