find the common ratio of 1/4, 1/16, 1/our /256.
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Answered by
2
Answer:
In mathematics, the infinite series
1
/
4
+
1
/
16
+
1
/
64
+
1
/
256
+ ⋯ is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC.[1] As it is a geometric series with first term
1
/
4
and common ratio
1
/
4
, its sum is
Archimedes' figure with a =
3
/
4
{\displaystyle \sum _{n=1}^{\infty }{\frac {1}{4^{n}}}={\frac {\frac {1}{4}}{1-{\frac {1}{4}}}}={\frac {1}{3}}.}{\displaystyle \sum _{n=1}^{\infty }{\frac {1}{4^{n}}}={\frac {\frac {1}{4}}{1-{\frac {1}{4}}}}={\frac {1}{3}}.}
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Answered by
2
answer is 1/4 is the best answer
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