Which of the following sequences represents the Fibonacci sequence?

Study for the NES Elementary Education Subtest 2 with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

Which of the following sequences represents the Fibonacci sequence?

Explanation:
The Fibonacci sequence is a series of numbers in which each number after the first two is the sum of the two preceding ones, typically starting with 0 and 1. In this case, the correct sequence, which is represented in the chosen answer, begins with 0 and 1. The subsequent numbers are generated as follows: - Starting with 0 and 1, the next number is 0 + 1 = 1. - The next number is 1 (the second term) + 1 (the third term) = 2. - The next number is 1 (the third term) + 2 (the fourth term) = 3. - Then, 2 (the fourth term) + 3 (the fifth term) = 5. Thus, the sequence 0, 1, 1, 2, 3, 5 accurately illustrates the Fibonacci sequence by following the defining rule of summing the two previous numbers to create the next one.

The Fibonacci sequence is a series of numbers in which each number after the first two is the sum of the two preceding ones, typically starting with 0 and 1. In this case, the correct sequence, which is represented in the chosen answer, begins with 0 and 1. The subsequent numbers are generated as follows:

  • Starting with 0 and 1, the next number is 0 + 1 = 1.
  • The next number is 1 (the second term) + 1 (the third term) = 2.

  • The next number is 1 (the third term) + 2 (the fourth term) = 3.

  • Then, 2 (the fourth term) + 3 (the fifth term) = 5.

Thus, the sequence 0, 1, 1, 2, 3, 5 accurately illustrates the Fibonacci sequence by following the defining rule of summing the two previous numbers to create the next one.