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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.

Answer»

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.



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