Use geometric sums to find out how much you will need to put away monthly at 3, 6, 9, and 12% (compounded monthly) for you to reach your desired amount of retirement money. Show all work.   Compare what happens at the different rates. You will need your current age 25, age when you want to retire 65, and how much you want to have saved up for retirement. $2,000,000  Use present value of an annuity (not lump sum up front). Don't forget that this is compounded monthly. Also, it is a finite geometric sum.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.