Question

Your salary is given by the explicit rule,a_n=35,000(1.04)^{n-1}[/where n is the number of years you have worked. Write a recursive rule for your salary.

Answer 1

`a_n=1.04\cdot a_(n-1)\ \ ,\ \ a_1=35,000`

Explanation:

The salary is dependent upon the number of years you have worked.

Your salary increases by 1.04 times every year.

So, your salary over the years can be expressed as a Geometric Progression

35000, 35000*(1.04)², 35000*(1.04)³, ...

=> Common Ratio (r) = 1.04

∴
`a_n=1.04\cdot a_(n-1)\ \ ,\ \ a_1=35,000`