Guide :High School

How do I prove that 0.3333.. Is equal to 1/3 using a geometric series?

How do I prove that 0.3333.. Is equal to 1/3 using a geometric series?
It might can be used as 0.3 because it's 1/3 ...

Research, Knowledge and Information :


Geometric Series | Purplemath


You can take the sum of a finite number of terms of a geometric ... by use of a geometric series, that 0.3333... is equal to ... also be used to prove that 0.999... = 1.
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How Can 0.999… Equal 1? - Purplemath


How Can 0.999... = 1? ... Students don't generally argue with "0.3333..." being equal to 1 / 3, ... Proof by geometric series. The number "0.9999 ...
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If (1/3 * 3 = 1), and (1/3 = 0.333...), and (0.333... * 3 = 0 ...


... 0.333, 0.3333, 0.33333, ..." is equal to 1/3, ... the series is a geometric series, the sum is a/(1-r) = (3 ... using the result that you're trying to prove as a ...
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A shorter proof to 0.999 = 1 | Page 4 | Physics Forums - The ...


... how do you KNOW the sum of the geometric series 1+r + r^2 ... Doesn't one have to prove 1/3 = 0.333 ... find it easier to comprehend the fact that 1/3 = 0.3333 ...
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Proving 0.999... Is Equal To 1 - Slashdot


... does not equal one also believe that 0.333... does not equal 1/3, ... its like stating A = A. 1/3 being 0.3333 ... 0.999... is just a geometric series. 1 is ...
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Limit of a sequence - Wikipedia


... the limit of a sequence is the ... Archimedes succeeded in summing what is now called a geometric series. ... These properties are extensively used to prove ...
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Talk:0.999.../Archive 1 - Wikipedia


Please prove to me that 1.999... divided by 2 is 0.999 ... and believe in geometric series, ... just as pi is not equal to 3.14..., just as 1/3 is not equal to 0.333 ...
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