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zlopas [31]
3 years ago
13

I have a math question it is... what is g - 3/7 = 2/7 ?

Mathematics
1 answer:
stira [4]3 years ago
6 0

 

g - 3/7 = 2/7   is an equation.


\displaystyle\bf\\g-\frac{3}{7}=\frac{2}{7}\\ \\g=\frac{2}{7}+\frac{3}{7}=\frac{2+3}{7}=\frac{5}{7}\\\\\boxed{\bf g=\frac{5}{7}}





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Answer:

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What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?
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=========================================

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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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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