Fibonacci Series Quiz

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Questions and Answers

What is the result of the expression $F(13) * F(25)$?

  • 165,580,141
  • 144
  • 16,893,665 (correct)
  • 15,005

If $F(13) * F(25)$ is computed incorrectly, which of the following could be a possible error resulting in 15,005?

  • Multiplying $F(13)$ by 1 instead of $F(25)$ (correct)
  • Incorrectly adding the Fibonacci numbers
  • Confusing the indices leading to a typo
  • Using only the last digit of $F(25)$

Which of these options would be close to the magnitude of $F(13) * F(25)$?

  • 165,580,141 (correct)
  • 16,000,000
  • 500,000
  • 1,000,000

Considering the Fibonacci series, which of the following statements about $F(13)$ and $F(25)$ is true?

<p>$F(25)$ is larger than three times $F(13)$ (D)</p> Signup and view all the answers

What is the lowest possible result from $F(13) * F(25)$ if incorrect values are used for both Fibonacci numbers?

<p>144 (A)</p> Signup and view all the answers

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Study Notes

Fibonacci Sequence Multiplication

  • The product of $F(13)$ and $F(25)$ is a significant value within the context of the Fibonacci sequence.

Possible Calculation Error

  • An incorrect calculation of $F(13) * F(25)$ could result in 15,005, suggesting a misinterpretation of the Fibonacci sequence values.

Magnitude of $F(13) * F(25)$

  • The magnitude of $F(13) * F(25)$ is likely to be a large number due to the exponential growth nature of the Fibonacci sequence.

Relationship between $F(13)$ and $F(25)$

  • $F(25)$ is significantly larger than $F(13)$ due to the increasing rate of growth in the Fibonacci sequence.

Minimum Possible Result

  • The lowest possible result for $F(13) * F(25)$ with incorrect values would occur if both $F(13)$ and $F(25)$ were underestimated.

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