SOLUTION: I put $150 in my piggy bank this month. Every month i add half of what i added in the previous month for the rest of my long life. Approximately how much will end up in my piggy ba

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Question 880495: I put $150 in my piggy bank this month. Every month i add half of what i added in the previous month for the rest of my long life. Approximately how much will end up in my piggy bank?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Look for instruction on Geometric Series.

150+150/2+150/4+150/8+150/16+....
r+=+1%2F2.
a%5B1%5D=150.

r%3C1 means the series converges and you can use the formula, Sum=a%5B1%5D%2F%281-r%29.
http://en.wikipedia.org/wiki/Geometric_series.

Your sum is 150%2F%281-1%2F2%29=150%2F%281%2F2%29=highlight%28300%29.