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Sati [7]
3 years ago
5

What is 4.62 expressed as an improper fraction in simplest form?

Mathematics
2 answers:
sp2606 [1]3 years ago
6 0
4 62/100= 4 31/50= 231/50
Sladkaya [172]3 years ago
5 0
4 31/50 as a mixed number
231/50 as an improper fraction

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What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?
ruslelena [56]
<h3>Answer:   375</h3>

=========================================

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

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----------

As a sort of "check", we can add up partial sums like so

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  • 300+60+12 = 360+12 = 372
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and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

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3 years ago
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