NCIDQ IDFX Practice Exam

Which series of numbers defines the Fibonacci series?

1. A sequence beginning with any two arbitrary numbers

2. A sequence starting with 0 and 1, where each number is the sum of the previous two

3. A series that increases by a constant value

4. A combination of geometric shapes in a pattern

The correct answer is: A sequence starting with 0 and 1, where each number is the sum of the previous two

The definition of the Fibonacci series is accurately represented by the option that describes a sequence starting with 0 and 1, where each subsequent number is the sum of the two preceding numbers. This creates a distinctive pattern of numbers: 0, 1, 1, 2, 3, 5, 8, 13, and so on. Each number in the series builds upon the previous two, exemplifying the recursive relationship that characterizes the Fibonacci sequence. This series is of great significance in mathematics and appears in various natural phenomena, such as the arrangement of leaves on a stem or the branching patterns of trees. The foundational starting point of 0 and 1 is essential to creating this unique pattern, setting it apart from other numerical sequences. Other options describe different types of sequences or concepts that do not align with the properties of the Fibonacci series, reinforcing that the correct answer encompasses the specific recursive nature of the Fibonacci sequence.