If the C code for the Fibonacci series was modified such that the initial values were `num1 = 1` and `num2 = 2`, and the user inputs `5` for the length of the series, what would be... If the C code for the Fibonacci series was modified such that the initial values were `num1 = 1` and `num2 = 2`, and the user inputs `5` for the length of the series, what would be the fifth number printed in the series?
Understand the Problem
The question describes a modified Fibonacci sequence where the first two numbers are 1 and 2, respectively. We need to determine the 5th number in this modified sequence. In a standard Fibonacci sequence each number is the sum of the two preceding numbers. We must apply this same logic, using the modified starting values, to get to the 5th number in the sequence.
Answer
$8$
Answer for screen readers
The 5th number in the modified Fibonacci sequence is $8$.
Steps to Solve
- Identify the first two numbers
The problem states that our modified Fibonacci sequence starts with 1 and 2.
- Calculate the 3rd number
To find the 3rd number, we add the first two numbers: $1 + 2 = 3$.
- Calculate the 4th number
To find the 4th number, we add the 2nd and 3rd numbers: $2 + 3 = 5$.
- Calculate the 5th number
To find the 5th number, we add the 3rd and 4th numbers: $3 + 5 = 8$.
The 5th number in the modified Fibonacci sequence is $8$.
More Information
The Fibonacci sequence appears surprisingly often in nature, such as in the arrangement of leaves on a stem, the spirals of a sunflower, and the branching of trees.
Tips
A common mistake would be to start the sequence with 0 and 1, which is how the standard Fibonacci sequence begins, instead of 1 and 2 as defined in this problem. Another common mistake is miscalculating the sums at each step.
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