Interesting pattern in Fibonacci Series
Hi everyone, in this blog post I will be describing an interesting pattern formed by fibonacci numbers. Fibonacci number or fibonacci sequence is a sequence of numbers such that a given number is the sum of the previous 2 numbers. In mathematical terms, F(n) = F(n-1) + F(n-2). Fibonacci sequence is as follows - 0,1,1,2,3,5,8,13,21,34,55,89,144,233, 377, 610, 987....etc. There are plenty of unknown sequence and patterns in fibonacci sequence. If we carefully look the series, we ourself can figure out many unknown patterns. Here, I am specifying one of those unknown patterns in fibonacci sequence. Suppose we took the number 610. It can be represented in the following ways:- 610 = 610 * 1 + 377 * 0 610 = 377 * 1 + 233 * 1 610 = 233 * 2 + 144 * 1 610 = 144 * 3 + 89 * 2 610 = 89 * 5 + 55 * 3 610 = 55 * 8 + 34 * 5 610 = 34 * 13 + 21 * 8 610 = 21 * 21 + 13 * 13 610 = 13 * 34 + 8 * 21 610 = 8 * 55 + 5 * 34 ...