Fibonacci numbers Take 10 numbers as shown below:
a, b, (a + b), (a + 2b), (2a + 3b), (3a + 5b), (5a + 8b), (8a + 13b), (13a + 21b), and (21a + 34b). Sum of all these numbers = 11(5a + 8b) = 11 × 7th number.
Taking a = 8, b = 13.,
Write 10 Fibonacci numbers and verify that sum of all these numbers = 11 × 7th number
Hint. I, II, (I + II), (III + II), (IV + III), [V + IV), and so on