word problem

G

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The 1st prize in a contest is $100,000 and each subsiding prize is 75% of the value of the preceding prize. If the # of prizes could be unlimited find the total amount of $ that will be given away.
 
\(\displaystyle \L\\100000\sum_{n=0}^{\infty}(\frac{3}{4})^{n}\)
 
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