Violet was offered a job that paid a salary of \$25,500$25,500 in its first year. The salary was set to increase by 2% per year every year. If Violet worked at the job for 29 years, what was the total amount of money earned over the 29 years, to the nearest whole number?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

Violet was offered a job that paid a salary of $25,500 in its first year.

The salary was set to increase by 2% per year every year.

If Violet worked at the job for 29 years. Then the total amount of money earned over the 29 years will be

The sequence will be

[tex]25000, 25000 (1.02), 25000 (1.02)^2, 25000 (1.02)^3, ....., 25000 (1.02)^{28}[/tex]

Then we have

First-term (a) = 25000

Common ratio (r) = 1.02

n = 29

Then the sum will be given as

[tex]\rm S_n \ = \dfrac{a(r^n - 1)}{(r-1)}\\\\\\S_{29} = \dfrac{25000(1.02^{29}-1)}{1.02-1}\\\\\\S_{29} = \dfrac{25000\times 0.7758}{0.02}\\\\\\S_{29}= \$ \ 969,805.86[/tex]

More about the sequence and the series link is given below.

https://brainly.com/question/21961097

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