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Which of the following statements about the Fibonacci sequence is true? (2023)

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Question: Which of the following statements about the Fibonacci sequence is true? (2023)

Options:

  1. It starts with 0 and 1
  2. It is an arithmetic sequence
  3. It has a constant difference
  4. It is a geometric sequence

Correct Answer: It starts with 0 and 1

Exam Year: 2023

Solution:

The Fibonacci sequence starts with 0 and 1, and each subsequent term is the sum of the previous two.

Which of the following statements about the Fibonacci sequence is true? (2023)

Practice Questions

Q1
Which of the following statements about the Fibonacci sequence is true? (2023)
  1. It starts with 0 and 1
  2. It is an arithmetic sequence
  3. It has a constant difference
  4. It is a geometric sequence

Questions & Step-by-Step Solutions

Which of the following statements about the Fibonacci sequence is true? (2023)
  • Step 1: Understand what the Fibonacci sequence is. It is a series of numbers where each number is the sum of the two preceding ones.
  • Step 2: The sequence starts with the numbers 0 and 1.
  • Step 3: The next number in the sequence is calculated by adding the last two numbers together. For example, 0 + 1 = 1, so the next number is 1.
  • Step 4: Continue this process: 1 (previous) + 1 (the one before that) = 2, so the next number is 2.
  • Step 5: Keep adding the last two numbers to find the next numbers in the sequence: 1 + 2 = 3, then 2 + 3 = 5, and so on.
  • Step 6: The sequence looks like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, ... and continues indefinitely.
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