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The recursive formula for the time complexity of a function that calculates t(n) based on the previous value t(n-1) and the input size n is: t(n) t(n-1) f(n), where f(n) represents the time complexity of the function for input size n.

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5mo ago

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Are all patterns recursive?

No, patterns with terms that are not based upon previous terms are not recursive. Example: i * i where i is the nth term of the pattern.


What is recursive function?

A recursive function is one in which the value of a function at each point depends on its value at one or more previous points. A rercursive function requires the first few values to be defined normally - these are called bases. Perhaps one of the most famous recursive function is the Fibonacci series, which has f(1) = 1 f(2) = 1 f(n) = f(n-1) + f(n-2) for n = 3, 4, 5, ... There are two bases and each subsequent value is defined in terms of the preceding two.


What is the previous balance method?

calculates the interest you owe for your balance at the end of the previous billing period


What is the form of a sequence where you get one term by doing something to the previous term?

Recursive Form


Is 1 11 21 31 41 a recursive pattern?

Yes. Each term is 10 more than the previous term.


What differences between reentrant function and recursive function?

A reentrant function is called by the program during execution and can be interrupted and recalled later. A recursive function can call itself during execution and repeats itself without interruption.


Is 35917 a recursive pattern?

The number 35917 does not inherently represent a recursive pattern, as it is simply a five-digit integer without any obvious mathematical sequence or repetition. A recursive pattern typically involves a sequence where each element is defined based on previous elements, such as in the Fibonacci sequence. If you can provide more context or specify what kind of recursive pattern you are referring to, I could give a more tailored answer.


How do you find a recursive equation?

To find a recursive equation, start by identifying the relationship between consecutive terms in a sequence. Define the first term(s) explicitly, then express each subsequent term as a function of one or more previous terms. Analyze patterns in the sequence to formulate a general rule that captures the relationship. Finally, verify the equation by checking if it holds true for the initial terms of the sequence.


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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 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.


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.


Is 1 11 20 30 39 a recursive pattern?

Yes. The next two numbers would be 49 & 58. This is because, from the first number, the pattern repeats by adding 10 then 9. So - 39+19 is 49, and 49+9=58.