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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.
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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 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 Explicit equations for the nth term of some kind of arithmetic sequence?
xn=x1+(n-1)v^t and Pn=P1+(n-1)iP1
Recursive and explicit formulas make what kind of graphs?
Recursive and explicit formulas can both be used to generate sequences, which can be represented graphically. Recursive formulas define each term based on previous terms, often resulting in graphs that show a stepwise progression, while explicit formulas provide a direct calculation for any term, leading to smoother, continuous graphs. The nature of the graph—whether linear, quadratic, or another form—depends on the specific characteristics of the formulas used.
Is the explicit rule for a geometric sequence defined by a recursive formula of for which the first term is 23?
Yes, the explicit rule for a geometric sequence can be defined from a recursive formula. If the first term is 23 and the common ratio is ( r ), the explicit formula can be expressed as ( a_n = 23 \cdot r^{(n-1)} ), where ( a_n ) is the nth term of the sequence. This formula allows you to calculate any term in the sequence directly without referencing the previous term.
What recursive formulas represents the same arithmetic sequence as the explicit formula an 5 n - 12?
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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 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.
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 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
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 Explicit equations for the nth term of some kind of arithmetic sequence?
xn=x1+(n-1)v^t and Pn=P1+(n-1)iP1
What is the Th term of the arithmetic sequence given by the explicit rule?
The answer depends on what the explicit rule is!
What has the author Bram van Leer written?
Bram van Leer has written: 'Multidimensional explicit difference schemes for hyperbolic conservation laws' -- subject(s): Differential equations, Hyperbolic, Hyperbolic Differential equations
Recursive and explicit formulas make what kind of graphs?
Recursive and explicit formulas can both be used to generate sequences, which can be represented graphically. Recursive formulas define each term based on previous terms, often resulting in graphs that show a stepwise progression, while explicit formulas provide a direct calculation for any term, leading to smoother, continuous graphs. The nature of the graph—whether linear, quadratic, or another form—depends on the specific characteristics of the formulas used.
The simple formula for the nth term of an arithmetic sequence is an equals 4n plus 16 What is the explicit formula corresponding to the simple formula?
The explicit formula for an arithmetic sequence is given by an = a1 + (n-1)d, where a1 is the first term and d is the common difference. In this case, the first term a1 is 16, and the common difference d is 4. Therefore, the explicit formula for the arithmetic sequence is an = 16 + 4(n-1) = 4n + 12.
