SOLUTION: Hey can you pleaseee help me ! How much money would you save in a year if you put a penny away the first day of the year, two pennies the 2nd day, 3 on the third and so on. (Th

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Question 140967: Hey can you pleaseee help me !
How much money would you save in a year if you put a penny away the first day of the year, two pennies the 2nd day, 3 on the third and so on.
(There is supposed to be an algebraic equation to find it, but I can't figure out the equation)
Thanks

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
If you were to save 1 penny on the first day of the yesr then 2 pennies on the second day, etc, for one year, your total, S, would be:
This is called an "Arithmetic series"
The total, S, is called the partial sum and is given by:
where: n = the number of terms in the series (that's 365 in this problem), is the first term (that's 1 here) and is the nth term and that is . So...


Pennies. To convert to dollars, divide by 100.
dollars.
S = $651.48

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