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anzhelika [568]
3 years ago
8

Which geometric series represents 0.4444... as a fraction?

Mathematics
2 answers:
STALIN [3.7K]3 years ago
8 0

Answer: It can be expressed as

\frac{4}{10}+\frac{4}{100}+\frac{4}{1000}+........

Step-by-step explanation:

Since we have given that 0.44444.......

We need  geometric series that represents as a fraction.

so, it can be written as

0.4+0.04+0.004+0.0004...............

But as we are required to write it as a fraction , So, it becomes,

\frac{4}{10}+\frac{4}{100}+\frac{4}{1000}+\frac{4}{10000}............

and it is a geometric series.

Because it has first term = a = \frac{4}{10}

and common ratio = r = \frac{a_2}{a_1}=\frac{\frac{4}{100}}{\frac{4}{10}}=\frac{1}{10}

Hence, it can be expressed as

\frac{4}{10}+\frac{4}{100}+\frac{4}{1000}+........

aliina [53]3 years ago
7 0
The geometric series that represents 0.4444... as a fraction is: <span>4/6 * [k=0, ∞]∑1/6^k </span>
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