Question: Description a(n) = | a(1) = 2, n = 1 | a(n) = 4a(n-1)-3n, n >= 2 Given the Maths Function definition above for a
Description
a(n) = | a(1) = 2, n = 1 | a(n) = 4a(n-1)-3n, n >= 2
Given the Maths Function definition above for a mathematical function a(n) you are required to write two Java methods both methods will be in the same class.
An iterative method which calculates a(n) for any positive value of n. In this method you must use either a for or a while loop. You should call this method q1Iterative and it should have a definition as follows: public static int q1Iterative(int n)
A recursive method which calculates a(n) for any positive value of n. You should call this method q1Recursive. The definition of the method should be declared as follows: public static int q1Recursive(int n)
Both Java methods should only return the single value of a(n). They should not print any other values.
Input
n, an integer value.
Sample Input 1
1
Output
The method will print the value of a(n) for each method (which is a(1) in this case) on the same line separated by a space
Sample Output 1
2 2
Sample Input 2
5
Output
The method will print the value of a(n) for each method (which is a(5) in this case) on the same line seperated by a space
Sample Output 2
-79 -79
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