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Consider the following situation. Oliver opens a retirement account by depositing $1800 in the initial year. He intends to increase his deposits by $100

Consider the following situation. Oliver opens a retirement account by depositing $1800 in the initial year. He intends to increase his deposits by $100 in each subsequent year. 1) How much does Oliver expect to deposit in year 1? Year 2? Year 0 2) Use the table below to chart the expected total of Oliver's deposits by year. Calculate the absolute and relative change from the previous year to explore the pattern. Relative Change from Previous Year 1 2 3 4 Amount Deposited for given year 1800 = initial value Absolute Change from Previous Year 3) How is the total amount of deposits changing from year to year? Percent Increase from Previous Year 4) Which value stays the same, the absolute change or the relative change? 5) Without continuing the table, how can you mathematically find the total amount of Oliver's retirement contributions in the sixth year? bosq boing 6) Use the initial value for year 0, the absolute change from year to year, and the pattern by w the value of the deposits are increasing to find a mathematical model that will give the am the deposit in any given year. 7) What kind of model is this?

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