After stepping into your room with unusual lighting Michaels pupil has a diameter of 6 millimeters.What is the pupils radius

Mathematics

1 answer:

Leokris [45]3 years ago

8 0

To find radius just divide diameter by 2
So the answer will be
6 divide 2 = 3mm

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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: