With an 18% discount, Joah was able to save $13.23 when buying a coat.

Mathematics

1 answer:

dimaraw [331]2 years ago

4 0

Answer:

The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.

Step-by-step explanation:

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Step-by-step explanation:

Notice that the series can be written as a combination of two geometric series, that can be found independently:

$\frac{3^{n-1}-1}{6^{n-1}} =\frac{3^{n-1}}{6^{n-1}} -\frac{1}{6^{n-1}} =(\frac{1}{2})^{n-1} -\frac{1}{6^{n-1}}$

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The second one: $\frac{1}{6^{n-1}}$ is a geometric sequence of first term "1", and common ratio (r) " $\frac{1}{6}$ ". Again, since the common ratio is smaller than one, we can find its infinite sum: