Question

13. 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 (2
Sum of all these numbers = 11(5a +8b) = 11x7th number.
Taking a = 8, b = 13; write 10 Fibonacci numbers and verify that sum of all
= 11 x 7th number.​

Answer 1

Answer:

13. 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 x 7th number.

Taking a = 8, b = 13; write 10 Fibonacci numbers and verify that sum of all these numbers

= 11 x 7th number.

Hint. I, II, (I + II), (III + II), (IV + III), (V + IV), and so on.

Step-by-step explanation:

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