Tyler begins funding a college education fund for his son. he saves $1000 the first year. each year he saves 5% more than the previous year. how much money will be in the college education fund at the end of 18 years?

In the first year Tyler saves $1000

In the second year Tyler will save 5% more than what he saved in the first year and that can be represented as:

Thus, we see that the ratio of the second year's savings to first year's savings is 1.05. Please note that this ratio will continue because Tyler will save 5% more than the previous year as given in the question. Therefore, this represents a case of geometric series where the first term, , the common ratio, and the number of terms (the total number of years Tyler will save), .

Now, to find Tyler's total savings, we will simply use the sum formula for a geometric series which is:

In our case, is:

Thus, the money that will be in the college education fund at the end of 18 years is $ 28,132 (approx).

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step-by-step explanation:

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