Question: Please write specific answer for a and b 4. Consider the linear recurrence relations of degrees one and two, defined by the form i. an
Please write specific answer for a and b
4. Consider the linear recurrence relations of degrees one and two, defined by the form i. an = can-1 ii. an = Cian-1 + c2an-2, respectively, for n 2. In case i, the solution (sequence) {an} depends on the two parameters: coefficient C and initial value an, denoted here by (C1,01). In case ii, there are the additional coefficient C2 and initial value ao so that (C1,1) enlarges to (C1,C2, ao, a) a. Recurrence Relation i: Discuss the dependence of sequence {an} on (C1, a) and categorize its sequential behavior into several patterns through programming and visualization of {an} b. Recurrence Relation ii: Do the same as a with (C1, C2, ao, ay) Programming-The following function may be useful: double LinearRecurrence (double a[DEGREE], double c[DEGREE]), where arguments a[ ] and c[ ] stand for (an-1, an-2, an-DEGREE) and (C1,C2, ..., CDEGREE), respectively, and DEGREE is the named constant to indicate the degree. This function returns an. Visualization-Use the line plot to see sequence {an} on a graph (horizontal axis: n, vertical axis: an). 4. Consider the linear recurrence relations of degrees one and two, defined by the form i. an = can-1 ii. an = Cian-1 + c2an-2, respectively, for n 2. In case i, the solution (sequence) {an} depends on the two parameters: coefficient C and initial value an, denoted here by (C1,01). In case ii, there are the additional coefficient C2 and initial value ao so that (C1,1) enlarges to (C1,C2, ao, a) a. Recurrence Relation i: Discuss the dependence of sequence {an} on (C1, a) and categorize its sequential behavior into several patterns through programming and visualization of {an} b. Recurrence Relation ii: Do the same as a with (C1, C2, ao, ay) Programming-The following function may be useful: double LinearRecurrence (double a[DEGREE], double c[DEGREE]), where arguments a[ ] and c[ ] stand for (an-1, an-2, an-DEGREE) and (C1,C2, ..., CDEGREE), respectively, and DEGREE is the named constant to indicate the degree. This function returns an. Visualization-Use the line plot to see sequence {an} on a graph (horizontal axis: n, vertical axis: an)
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