Clear you Fibonacci basics 1

Algebra Level 3

evaluate ∑ n = 0 ∞ f n 1. 5 n \sum_{n=0}^\infty \dfrac{f_n}{1.5^n} wher f n f_n is the nth Fibonacci number. if, for some reason you think the summation diverges , enter 666.


The answer is 666.000.

Aareyan Manzoor by Aareyan Manzoor , 18, USA

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1 solution

Aareyan Manzoor
Nov 14, 2015

the easiest way to think about this perhaps is that when n approaches infinity, each Fibonacci number wil increase with common ration 1.618(the golden mean) but to slow them down, only 1.5 will work. so the function is increasing, hence when summed upto infinity, diverges.

2 Helpful 1 Interesting 0 Brilliant 0 Confused

Haahaha, nice trick question!

Pi Han Goh - 5 years, 7 months ago

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