is 7.787887888... a rational number?\nyes; it has a pattern which is repeating.\nyes; it has a pattern which…

is 7.787887888... a rational number?\nyes; it has a pattern which is repeating.\nyes; it has a pattern which is terminating.\nno; it has a pattern which is predictable, but nonrepeating.\nno; it has a pattern which is random and nonterminating.

is 7.787887888... a rational number?\nyes; it has a pattern which is repeating.\nyes; it has a pattern which is terminating.\nno; it has a pattern which is predictable, but nonrepeating.\nno; it has a pattern which is random and nonterminating.

Answer

Explanation:

Step1: Recall rational - number definition

A rational number can be written as a fraction $\frac{p}{q}$ ($q\neq0$) and has either a terminating or repeating decimal expansion. An irrational number has a non - repeating, non - terminating decimal expansion.

Step2: Analyze the given decimal

The number 7.787887888... has a pattern where the number of 8s between 7s is increasing. It is non - repeating (the block of digits does not repeat in a fixed cycle) and non - terminating. So it is an irrational number.

Answer:

C. No; it has a pattern which is predictable, but nonrepeating