Question

In a repeating decimal 0.1234512345...., What is the 2018th digit to the right of the decimal number?​

Answer 1

Step-by-step explanation:

Given:-

The repeating decimal is 0.1234512345...

To find:-

In a repeating decimal 0.1234512345...., What is the 2018th digit to the right of the decimal number?

Solution:-

Given decimal number = 0.1234512345...

It is a non terminating recurring decimal

The period of the number = 12345

Periodicity of the number = 5

The 2018th digit the right of the decimal

=>2018 can be written as

=>2015+3

2015 is a multiple of 5 so the pattern is completed .

So ,2015 th digit = 5

2016th digit = 1

2017th digit = 2

2018 th digit = 3

(or)

2018/5 = 403.6

So the pattern would repeat 403 times.

2016th digit = 1

2017th digit = 2

2018 th digit = 3

Answer:-

In a repeating decimal 0.1234512345...the 2018th digit to the right of the decimal number is 3