Sequence is an ordered list of objects following a pattern. Sequence terms can appear multiple times in different orders. Sequences have properties of convergence in mathematical disciplines
Fibonacci sequence starts from 0 and 1, with each number being the sum of two preceding ones. The recursive formula is Fn = Fn-1 + Fn-2
Fibonacci sequence starts with 0 and 1, each number is sum of previous two. Sequence was discovered by Fibonacci to calculate rabbit population growth. Fibonacci(n) represents number of pairs in month n
Fibonacci sequence starts with 0 and 1, where each number is sum of two predecessors. Recursive algorithm reduces problem to F(n-1) and F(n-2) for n > 1. Time complexity is O(2^n) using backward substitution. Tightest upper bound is O(Φ^n) where Φ = (1+√5)/2
Fibonacci sequence starts with 1 and adds previous two terms. Number of rows depends on desired sequence term count. Table method works only for early terms. Cannot find later terms without calculating all previous ones
Recurrence relations can be solved by finding nth term in terms of earlier terms. Recurrence of any polynomial has a closed form formula of degree one higher. Linear combinations of previous k terms can be solved using characteristic polynomial