Fibonacci Series In C Mcq Exercise 1

✅ A series in which every term is the product of the two numbers that came before it.
✅ A series in which every term is the difference between the two numbers that came before it.
✅ A series in which every term is the quotient of the two numbers that came before it.

Explanation:

✅ The correct answer is option "a". The term Fibonacci series is defined as the number sequence in which each number is equal to the sum of the two numbers that came before it. Usually, the sequence begins with 0 and 1:
✅ Sequence of Fibonacci numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21,...

Which of the following terms describes the Fibonacci sequence the most accurately?

Explanation:

✅ The correct answer is option "a". Every term in the Fibonacci sequence is equal to the sum of the two terms that came before it. Although certain types start with numbers 1 and 1, the standard version begins with 0 and 1. It is how the sequence appears:
✅ The Fibonacci sequence, which usually begins at 0, is as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21,...

Explanation:

✅ The correct answer is option "c". The first term in the Fibonacci sequence usually begins with 0. However, it can also start with 1, depending on the specific convention or context. This convention establishes the starting terms of the sequence and affects the results of subsequent calculations.

When calculating the nth Fibonacci number in C, what is the time complexity of an effective iterative solution?

Explanation:

✅ The appropriate choice is option "d". The time complexity of a proficient iterative approach to determine the nth Fibonacci number in C is O(n). Essentially, this means that the time taken to compute the nth Fibonacci number grows proportionally with n.

What is the highest value of n that an int-type variable can accommodate for the accurate Fibonacci number storage?

Explanation:

✅ The correct answer is option "b". An int type in C programming can store integer values inside a specific range and generally takes up 4 bytes of memory. Although the specific implementation determines the range of numbers an int can store, it is generally stated that it ranges from -2147483648 to 2147483647.

What is the most effective method for computing the Fibonacci sequence in C that reduces the need for redundant computations?

Explanation:

✅ The correct answer is option "d". The iterative method is recommended for effectively calculating the Fibonacci sequence in C without performing redundant computations.
✅ Using an iterative method, we compute each Fibonacci number one after the other, starting at the bottom and working our way up.
✅ With this method, each Fibonacci number is only calculated once, and the subsequent one is derived from the values that were previously computed.
✅ We prevent unnecessary calculations that arise in the recursive technique by keeping previously computed Fibonacci numbers in variables.

Using a recursive implementation in C, what is the output of the Fibonacci sequence for input n = 5?

Explanation:

The accurate choice is alternative "b".

The method of recursion for calculating Fibonacci numbers adheres to the given definition:

F(0)=0

F(1)=1

F(n)=F(n-1)+F(n-2) for n≥2

8 is the right answer.

The fifth Fibonacci number in the series, beginning with 0, 1, 1, 2, 3, 5, etc., is F(5)=5.

As a result, after the initial ambiguity, the correct solution for n=5 is indeed 8 when utilizing the recursive Fibonacci function in C.