Solution 1 to 6
Solution 3

Fibonacci Number at a Given Position

This program calculates the Fibonacci number at a specified position in the sequence. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1. This program takes a position as input and outputs the Fibonacci number at that position.

Code Breakdown

Algorithm

  1. Start
  2. Input Position: Read the value of n (position) from the user.
  3. Check Position:
    • If n < 1, print "Invalid position" and exit.
  4. Initialize Variables:
    • Set a = 1, b = 0, and i = 0.
  5. Compute Fibonacci Number:
    • Loop until i is less than n:
      • Calculate c = a + b.
      • Update a to b.
      • Update b to c.
      • Increment i.
  6. Display Result:
    • Print the Fibonacci number at position n.
  7. End

Code Explanation

Example Flowchart

                                      Start
                                        |
                                        V
                              Input position n
                                        |
                                        V
                               Is n less than 1?
                              /                 \
                             /                   \
                           Yes                   No
                           /                      |
                          V                       V
               Print "Invalid position"       Initialize 
                          |               a = 1, b = 0, i = 0
                          V                       |
                         End                      |
                                                  V
                                          Loop while i < n
                                         /                \
                                        /                  \
                                       V                    V
                            Compute c = a + b         Update a = b, b = c
                                       |                     |
                                       V                     V
                               Increment i     Print Fibonacci number at position n
                                       |                     |
                                       V                     V
                                      End                   End