Mathematics: Which geometric series represents 0. as a fraction?

thank you for the free point have a great rest of your day...

Which geometric series represents 0. as a fraction?

luludawn2455

31.12.2021

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

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

0,0(0 оценок)