![]() We can observe patterns in our everyday lives – from the number of sunflower petals to snowflakes, they all exhibit patterns. The explicit formula is used to find the term of a sequence irrespective of information about its previous term.Recursive Sequence – Pattern, Formula, and Explanation The recursive formula is used to find a term of a sequence when its previous term is known. What is the Difference Between Recursive and Explicit Formulas? n th term of a Fibonacci Sequence: a n = a n-1 + a n-2 for n ≥ 2.n th term of G.P: a n = a n-1 for n ≥ 2.n th term of A.P: a n = a n-1 + d for n ≥ 2.In any recursive formula, a n refers to the n th term in the sequence, which can be found using the recursive formulas: Thus, the Fibonacci formula is given as, F n = F(n-1) + F(n-2), where n > 1. The Fibonacci series is characterized as the series in which each number is the sum of two numbers preceding it in the sequence. ![]() What is the Recursive Rule For the Fibonacci series?
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