4th Fibonacci number
Calculating the 4th Fibonacci number without a calculator or programming language can be quite tedious due to the large numbers involved. However, if you're up for the challenge, you can use a method called "iterative Fibonacci sequence generation" which involves systematically generating each Fibonacci number in sequence until you reach the desired index.
Here's how you can do it manually:
Start with two variables initialized to the first two Fibonacci numbers: F0 = 0 and F1 = 1.
Continue generating Fibonacci numbers iteratively until you reach the desired index (4 in this case). The next Fibonacci number in the sequence is the sum of the previous two Fibonacci numbers.
F2 = F1 + F0 = 1 + 0 = 1
F3 = F2 + F1 = 1 + 1 = 2
F4 = F3 + F2 = 2 + 1 = 3
Sum of the first 4 Fibonacci numbers
SUMM = F1 + F2 + F3 + F4 = 1 + 1 + 2 + 3 = 7