3.13113111311113… is :
Given:
Number = 3.13113111311113…
Concept used:
A number is rational if its decimal expansion is either terminating or repeating (recurring).
If it is non-terminating and non-repeating, it is irrational.
Solution:
Here, the digits after the decimal are:
13, 113, 1113, 11113, …
The number of 1’s before 3 keeps increasing, so the pattern never repeats.
Hence, the decimal is non-terminating and non-repeating.
Correct answer is (b) an irrational number.
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