Question

The first and second numbers in the Fibonacci sequence are both 1. After that, each subsequent number is the sum of the two preceding numbers. The first several numbers in the sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc. Write a function named fib that takes a positive integer parameter and returns the number at that position of the Fibonacci sequence. For example fib(1)

Answer 1

To write a function that returns the number at a given position in the Fibonacci sequence, you can use a recursive approach. The base case would be if the position is 1 or 2, then the function should return 1. Otherwise, the function should call itself twice, passing in the positions before and after the current position, and return the sum of the results.

Step-by-step explanation:

To write a function that returns the number at a given position in the Fibonacci sequence, you can use a recursive approach. The base case would be if the position is 1 or 2, then the function should return 1. Otherwise, the function should call itself twice, passing in the positions before and after the current position, and return the sum of the results. Here's an example:

function fib(position) {
if (position === 1 || position === 2) {
return 1;
} else {
return fib(position - 1) + fib(position - 2);
}
}

console.log(fib(6)); // Output: 8

Answer 2

To create a function named 'fib' for the Fibonacci sequence, one can write a straightforward iteration in Python where each term is the sum of the previous two. The function returns the nth term of the sequence.

Step-by-step explanation:

The Fibonacci sequence is a fascinating mathematical concept with applications in various fields, including biology and the arts. According to the sequence, each number after the first two is the sum of the two preceding ones. Therefore, the sequence goes 1, 1, 2, 3, 5, 8, 13, 21, etc. To write a function named fib that returns the nth Fibonacci number, we can use recursion or iteration.

Here is a simple Python function that uses iteration:

def fib(n):
a, b = 0, 1
for i in range(n):
a, b = b, a + b
return a

With this function, fib(1) would return 1, which is the first number in the Fibonacci sequence.