Fibonacci Sequence as Linear Recurrence
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- Learning recurrence relations- Part 1\color{Blue}{\textbf{Learning recurrence relations- Part 1}}Learning recurrence relations- Part 1 Recurrence relation is about reducing a pr…
By Aditya Raut
- Problem 1: If there are nnn steps to reach success and each time you may climb up 1 or 2 steps, how many different ways are there for you to reach success? Let f(n)f(n)f(n) deno…
By Benjamin Qi
Problems 4
- (2016 A-Star Math Tournament Guts Round #18) Let FFF be the sequence of Fibonacci numbers, where F1=1,F2=1,F_1 = 1, F_2 = 1,F1=1,F2=1, and Fn=Fn−1+Fn−2F_n = F_{n-1} + F_{n-2}F…
- If 2Fn−F15=F12,2F_n-F_{15}=F_{12},2Fn−F15=F12, what is n?n?n?
- Find nnn so that Fn=F1+F3+F5+...+F21.F_n= F_1 + F_3 + F_5 + ... + F_{21}.Fn=F1+F3+F5+...+F21.
- What is the measure of a base angle of a Golden Triangle? Express your answer in degrees.