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Will the explicit formula find the same answer when using the recursive formula?

It is often possible to find an explicit formula that gives the same answer as a given recursive formula - and vice versa. I don't think you can always find an explicit formula that gives the same answer.


What is the common difference between recursive and explicit arithmetic equations?

The common difference between recursive and explicit arithmetic equations lies in their formulation. A recursive equation defines each term based on the previous term(s), establishing a relationship that builds upon prior values. In contrast, an explicit equation provides a direct formula to calculate any term in the sequence without referencing previous terms. While both methods describe the same arithmetic sequence, they approach it from different perspectives.


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)


What is the recursive rule and explicit rule for 3 7 11 15?

The sequence 3, 7, 11, 15 is an arithmetic sequence where each term increases by 4. The recursive rule can be expressed as ( a_n = a_{n-1} + 4 ) with ( a_1 = 3 ). The explicit rule for the nth term is ( a_n = 3 + 4(n - 1) ) or simplified, ( a_n = 4n - 1 ).


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, ...

Related Questions

How are recursive rules different from explicit function rules for modeling linear data?

recursive rules need the perivius term explicit dont


Will the explicit formula find the same answer when using the recursive formula?

It is often possible to find an explicit formula that gives the same answer as a given recursive formula - and vice versa. I don't think you can always find an explicit formula that gives the same answer.


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 advantages does being able to symbolize your arguments provide Are there disadvantages to using this technique to make the structure of your arguments more explicit and clear?

What advantages does being able to symbolize your argument provide.


What recursive formulas represents the same arithmetic sequence as the explicit formula an 5 n - 12?

-7


What is the common difference between recursive and explicit arithmetic equations?

The common difference between recursive and explicit arithmetic equations lies in their formulation. A recursive equation defines each term based on the previous term(s), establishing a relationship that builds upon prior values. In contrast, an explicit equation provides a direct formula to calculate any term in the sequence without referencing previous terms. While both methods describe the same arithmetic sequence, they approach it from different perspectives.


What is the difference between a explicit equation and a recursive equation?

An explicit equation defines a sequence by providing a direct formula to calculate the nth term without needing the previous terms, such as ( a_n = 2n + 3 ). In contrast, a recursive equation defines a sequence by specifying the first term and providing a rule to find subsequent terms based on previous ones, such as ( a_n = a_{n-1} + 5 ) with an initial condition. Essentially, explicit equations allow for direct access to any term, while recursive equations depend on prior terms for computation.


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)


What are the advantage and disadvantages of communicative language teaching?

Advantages of communicative language teaching include a focus on communication skills, real-life language use, and student engagement. However, some disadvantages may include a lack of explicit grammar instruction, time-consuming lesson planning, and challenges in assessing progress.


What are the advantages and disadvantages of Eiffel programming language?

Eiffel is known for its strong emphasis on software reliability and maintainability, featuring design by contract, which enhances program correctness through explicit contracts for classes and methods. Its object-oriented nature promotes code reuse and modularity. However, disadvantages include a smaller community and ecosystem compared to more popular languages, which can limit available libraries and resources. Additionally, the learning curve can be steep for those unfamiliar with its unique syntax and concepts.


What is the difference between a recursive and an explicit formula?

a recursive formula is always based on a preceding value and uses A n-1 and the formula must have a start point (an A1) also known as a seed value. unlike recursion, explicit forms can stand alone and you can put any value into the "n" and one answer does not depend on the answer before it. we assume the "n" starts with 1 then 2 then 3 and so on arithmetic sequence: an = a1 + d(n-1) this does not depend on a previous value