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Amanda [17]
3 years ago
12

Repeated decimals can be written as an infinite geometric series to help convert them to a fraction. Consider the repeating deci

mal below.
0.232323… = 0.23 + 0.23(0.01) + 0.23(0.01)2 + …
What is a1?
What is r?
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

a1= 0.23

r=0.01

:)

Step-by-step explanation:

fgiga [73]3 years ago
4 0

Answer:

a_1=0.23 and r=0.1.

Step-by-step explanation:

It is given that Repeated decimals can be written as an infinite geometric series to help convert them to a fraction.  

Consider the repeating decimal below.

0.232323…=0.23+0.23(0.01)+0.23(0.01)^2+…

We need to find the value of a_1\text{ and }r.

a_1 is the first term of the series. So,

a_1=0.23

r is the common ratio of the series. So,

r=\dfrac{a_2}{a_1}=\dfrac{0.23(0.1)}{0.23}=0.1

Therefore, a_1=0.23 and r=0.1.

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