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Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
1. Use the provided information to identify each of Mr. Nicholson’s earning opportunities as arithmetic or geometric. For each opportunity, include the common difference or ratio.
2.Model each of Mr. Nicholson’s salary options with a recursive model that includes his potential earnings for the first three years of employment.
$60,000 salary with an annual raise of $3,500
$60,000 salary with an annual raise of 5% of his current salary

So, since Mr.Nicholson is getting an increase of 3500 per year, that is arithmetic sequence. Also, there would be a difference of 3500 in his annula raise each year.

The 5% raise is geometric sequence, b/c there is a constant increase (or ratio) of .05 ( or 5 percent) in each annual salary.

Hope this helps!

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