x1=0
x2=1
for i > 2, xi= xi-1 + xi-2
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Each term, except the first two, in the Fibonacci sequence is defined in terms of terms that went earlier in the sequence. That is the meaning of "recursive". t(1) = 1 t(2) = 1 t(n+2) = t(n) + t(n+1) for n = 1, 2, 3, ...
It is a version of the Fibonacci sequence, where each term is the sum of the previous two terms. The sequence is defined by the recursive formula: t(n) = t(n-1) + t(n-2) where t(n) is the nth term Here, t(1) = 2 and t(2) = 3 though for the more general form of the Fibonacci sequence, t(1) = 1 and t(2) = 1.
The 20th Fibonacci number in the sequence is 6,765.
The Fibonacci sequence requires two numbers as "seeds".
what is the recursive formula for this geometric sequence?