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How do you write a recursive rule for a sequence?

Updated: 9/17/2019
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Q: How do you write a recursive rule for a sequence?
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What is the difference between an explicit rule and a recursive rule?

An explicit rule defines the terms of a sequence in terms of some independent parameter. A recursive rule defines them in relation to values of the variable at some earlier stage(s) in the sequence.


What is the difference between a geometric sequence and a recursive formula?

what is the recursive formula for this geometric sequence?


Recursive rule for the Fibonacci sequence?

x1=0 x2=1 for i > 2, xi= xi-1 + xi-2


What is recursive rule?

A recursive rule is one which can be applied over and over again to its own output


What is the recursive rule and explicit rule for 3 12 48?

Each number is -4 times the previous one. That means that you can write a recursive rule as: f(1) = -3 f(n) = -4 * f(n-1) The explicit rule involves powers of -4; you can write it as: f(n) = -3 * (-4)^(n-1)


What is the recursive rule and explicit rule for -3 12 -48 192?

Each number is -4 times the previous one. That means that you can write a recursive rule as: f(1) = -3 f(n) = -4 * f(n-1) The explicit rule involves powers of -4; you can write it as: f(n) = -3 * (-4)^(n-1)


A recursive sequence has a common ratio?

true


Do grapes come under Fibonacci sequence?

No. Grapes have nothing to do with a recursive series of numbers following the rule that any number is the sum of the previous two.


What does recursive mean?

Recursive refers to using a rule or procedure that can be applied repeatedly.


What is a recursive rule for the following arithmetic sequence 27 24 21 18 15?

U1 = 27 U{n+1} = U{n} - 3


A sequence of numbers was generated using the rule 3N minus 2 where n represents a numbers position in the sequence. Write a sequence that fits this rule?

1, 4, 7, 10, 13, …


What is a recursive rule?

It is a term for sequences in which a finite number of terms are defined explicitly and then all subsequent terms are defined by the preceding terms. The best known example is probably the Fibonacci sequence in which the first two terms are defined explicitly and after that the definition is recursive: x1 = 1 x2 = 1 xn = xn-1 + xn-2 for n = 3, 4, ...