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Questions and Answers
Which of the following best describes a finite continued fraction?
Which of the following best describes a finite continued fraction?
- An expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then terminating after finitely many steps (correct)
- An expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then terminating after infinitely many steps
- An infinite expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number
- An expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then continuing indefinitely
What is the general assumption about the numerator of all fractions in a continued fraction?
What is the general assumption about the numerator of all fractions in a continued fraction?
- The numerator of all fractions is an integer
- The numerator of all fractions is 1 (correct)
- The numerator of all fractions is an arbitrary value
- The numerator of all fractions is 0
What are the coefficients or terms of a continued fraction?
What are the coefficients or terms of a continued fraction?
- The integers in the sequence, excluding the first
- The integers in the sequence, other than the first (correct)
- The integers in the sequence, including the first
- The integers in the sequence, excluding the first and the last
What is an infinite continued fraction?
What is an infinite continued fraction?
What is a generalized continued fraction?
What is a generalized continued fraction?
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