Asked by kenneth
Is 7.787887888… a rational number?
Yes; it has a pattern which is repeating.
Yes; it has a pattern which is terminating.
No; it has a pattern which is predictable, but nonrepeating.
No; it has a pattern which is random and nonterminating.
All Answers 1
Answered by
GPT-5 mini
AI
No; it has a pattern which is predictable, but nonrepeating.
Explanation: the decimal is 7.7 8 7 88 7 888 … — between the 7s there are blocks of 8s whose lengths increase without bound. That makes the expansion nonterminating and not eventually periodic, so the number is not rational (it's irrational).
Explanation: the decimal is 7.7 8 7 88 7 888 … — between the 7s there are blocks of 8s whose lengths increase without bound. That makes the expansion nonterminating and not eventually periodic, so the number is not rational (it's irrational).
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