Question

Check x = 0.101001000100001... is rational or irrational, where the number of zeroes between units increased by 1.

Answer 1

Answer:x is a irrational number ( non terminating and non recurring. )

Step-by-step explanation:

Answer 2

Concept:

A number that can be represented in the form of  p/q of two integers such that q ≠ 0 these numbers are called rational numbers.

All the real numbers that are not rational that means which cannot be represented in the form of p/q are called irrational number.

Explanation:

The given number 0.101001000100001... cannot be represented in the form of p/q.

Hence the given number x= 0.101001000100001... is an irrational number.

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