GATE Architecture/Planning 2016

Tough Question set by IISc Bangalore in 2008

Question: The rule for generating Fibonacci series is

            (A) F_i = F_i-1 +2 for i>1 given F_i and F₀

(B) F_i = F_i-1 +1 for i>1 given F_i and F₀

(C) F_i = F_i-1 +F_i-2 for i>1 given F_i and F₀

(D) F_i = (F_i-1)² for i>1 given F_i and F₀

           

Answer: (C) F_i = F_i-1 +F_i-2 for i>1 given F_i and F₀

Fibonacci sequence are the numbers in the following integer sequence:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 8, 144………….

The first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.