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8/4/2=1

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11y ago

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What is a recursive formula and what is it used for Geometric and Arithmetic?

A recursive definition is any definition that uses the thing to be defined as part of the definition. A recursive formula, or function, is a related formula or function. A recursive function uses the function itself in the definition. For example: The factorial function, written n!, is defined as the product of all the numbers, from 1 to the number (in this case "n"). For example, the factorial of 4, written 4!, is equal to 1 x 2 x 3 x 4. This can also be defined as follows: 0! = 1 For any "n" > 0, n! = n x (n-1)! For example, according to this definition, the factorial of 4 is the same as 4 times the factorial of 3. Try it out - apply the recursive formula, until you get to the base case. Note that a base case is necessary; otherwise, the recursion would never end.


What is the recursive formula for 2 1 3 4 7 11?

It look like a Fibonacci sequence seeded by t1 = 2 and t2 = 1. After that the recursive formula is simply tn+1 = tn-1 + tn.


What is the recursive formula for 1 4 13 40 121?

The sequence 1, 4, 13, 40, 121 can be described by a recursive formula. The recursive relationship can be expressed as ( a_n = 3a_{n-1} + 1 ) for ( n \geq 2 ), with the initial condition ( a_1 = 1 ). This means each term is generated by multiplying the previous term by 3 and then adding 1.


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, ...


What is the recursive formula for 64 to 16 to 4 to 1?

x_n+1 = x_n / 4


How can a recursive pattern go from 3 to 4 to 6 to 10 then 18?

t(1) = 3 t(n) = t(n-1) + 2(n-2) for n = 2, 3, 4, ...


Is 1-4-9-16-25-36 a recursive pattern?

no it is not a recursive pattern because it isn't equal numbers.


What is the recursive formula for -14 -8 -2 4 10?

t(n+1) = t(n) + 6 t(1) = -14


Which represents the first three terms of the sequence a1 2 and an 4(an-1)2?

Becasue the browser used by this site is unable to display most mathematical notation, this may not be the correct recursive formula, but:if a(1) = 2 and a(n) = 4*a(n-1)^2 then then a(2) = 4*2^2 =4*4 =16 and a(3) = 4*4^2 = 4*16 = 64


Is 1 4 9 16 25 36 a recursive pattern?

Yes


Is 4 9 19 39 79 159 recursive?

no it is not recursive


What is the recursive definition for 5 9 13 17 21?

Let f(x) = the xth term in your sequence. If x = 1, then f(x) = 5; otherwise if x > 1, then f(x) = f(x - 1) + 4.