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Is the explicit rule for a geometric sequence defined by a recursive formula of for which the first term is 23?
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A sequence of numbers that follows a rule is a what?
It is a sequence of numbers. That is all. The sequence could be arithmetic, geometric, harmonic, exponential or be defined by a rule that does not fit into any of these categories. It could even be random.
Why is Fibonacci recursive?
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, ...
What is 2 8 32 128 in gemetric sequence?
Not sure what a gemetric sequence might be. 2 8 32 128 is the start of the geometric sequence defined by Un = 22n-1 for n = 1, 2, 3, ...
What is the explicit rule for An equals An-1 plus 5n-1?
It is not possible to give a conclusive answer because for a recursive relationship of order 1, the first (or 0th) term must be specified.A(n) = (5*n^2 + 3*n + 2*A(1) - 8)/2 for n = 1, 2, 3, ...
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.
A sequence of numbers that follows a rule is a what?
It is a sequence of numbers. That is all. The sequence could be arithmetic, geometric, harmonic, exponential or be defined by a rule that does not fit into any of these categories. It could even be random.
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, ...
Why is Fibonacci recursive?
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, ...
What is 2 8 32 128 in gemetric sequence?
Not sure what a gemetric sequence might be. 2 8 32 128 is the start of the geometric sequence defined by Un = 22n-1 for n = 1, 2, 3, ...
What is the common ratio of the geometric sequence 625 125 25 5 1?
It is 0.2
How do you find the common ratio in a geometric sequence?
Divide any term in the sequence by the previous term. That is the common ratio of a geometric series. If the series is defined in the form of a recurrence relationship, it is even simpler. For a geometric series with common ratio r, the recurrence relation is Un+1 = r*Un for n = 1, 2, 3, ...
Is macro a recursive function?
If you're asking if the c preprocessor supports recursive macros, the answer is no. The preprocessor is single-pass and since the "function" must be defined before it can be referenced, it can not be recursive.
What is the explicit rule for An equals An-1 plus 5n-1?
It is not possible to give a conclusive answer because for a recursive relationship of order 1, the first (or 0th) term must be specified.A(n) = (5*n^2 + 3*n + 2*A(1) - 8)/2 for n = 1, 2, 3, ...
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.
Why is undefined terms in geometric is called undefined?
they are not defined
What is a base case?
A base case is the part of a recursive definition or algorithm which is not defined in terms of itself.
What is base case?
A base case is the part of a recursive definition or algorithm which is not defined in terms of itself.
