Assume you have a list of numbers, A, and A[i] (i>=1) represents the ith element of the list. Now please define a recursive function, f(n), which represents the product of the first n elements in the list for n>=1. Note: the product of an element refers to the element itself.
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Assume you have a list of numbers, A, and A[i] (i>=1) represents the ith element of the list. Now please define a recursive function, f(n), which represents the product of the first n elements in the list for n>=1. Note: the product of an element refers to the element itself.
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- Create a recursive function that simulates the range function. For example: Enter the range (begin, end, increment) separated by spaces: 3 15 3 [3,6,9,12]6. Write a function DOT-PRODUCT that takes two lists, each list has the same number of elements, and produces the dot product of the vectors that they represent. For example, (DOT-PRODUCT '(1.2 2.0 -0.2) '(0.0 2.3 5.0)) -> 3.6 Hint: The key for designing a lisp function is using recursion.3. Largest: a recursive function that computes the largest value for an integer array of positiveand negative values. For example, for the array below, the function largest should return 22,which is the largest value in the array. You can assume there are no more 20 integers in thearray. Think of how to formulate the recurrence relation in this problem yourself.
- Write a recursive function named Multiply2 that multiples by 2 and prints each element in a given list. For example: mylist=[1,2,3,4] Multiply2(mylist) prints: 2 4 6 8 Note: the function takes only one parameter, which is the list on which the operation will be performed.Computer Science In Racket, write a recursive function called "first-index" that returns only the first index of the specified element in a list. Ex : (first-index '1 '(3 5 1 4 5 2 1)) Would return 3 The function must take 2 arguments, the item you wish to find its index and a listIn Python: Write a recursive function named Multiply2 that multiples by 2 and prints each element in a given list. For example: mylist=[1,2,3,4] Multiply2(mylist) prints: 2 4 6 8 Note: the function takes only one parameter, which is the list on which the operation will be performed. It's ok if the list becomes empty after calling the function.
- Exercise B: "Matrix Addition" For this exercise you will design and implement a function that takes two matrix arguments and computes their sum (if and only if a sum can actually be computed, returning an empty list otherwise). Two matrices can only be added together if they have exactly the same dimensions. If the dimensions are acceptable, then the matrix sum will have the same dimensions as either of the operands, and the value of each element in the matrix sum is itself the sum of the corresponding elements in the operand matrices. And although it does makes sense to test rectangularity before attempting addition, you need not perform this step (since you did it above). In order to complete this task, you will need to: ensure you know how matrix addition can be performed² ● Your submission for this exercise:Consider the following function: void fun_with_recursion(int x) { printf("%i\n", x); fun_with_recursion(x + 1); } What will happen when this function is called by passing it the value 0?Practice recursion on lists Practice multiple base conditions Combine recursion call with and,or not operators Search for an element in a list using recursion Instructions In this lab, we will write a recursive function for searching a list of integers/strings. Write a recursive function to determine if a list contains an element. Name the function recursive_search(aList, value), where aList is a list and value if primitive type is the object we want to search for. Return a boolean, specifically True if and only if value is an element of aList else return False from the function Examples: recursive_search([1,2,3], 2) == True recursive_search([1,2,3], 4) == False recursive_search([ ], 4) == False recursive_search([ [ 1 ], 2 ], 1) == False # -----> (because the list contains [ 1 ] and 2, not 1) Hint: Think about what the base case is? When is it obvious that the element is not in the list? If we are not at the base case, how can you use the information about the first element of the…
- Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…write a recursive version. The function takes two string parameters, s1 and s2 and returns the starting index of s2 inside the first string s1, or -1 if s2 is not found in s1. You must not use any loops; you also cannot use the string member functions find or rfind. You may use the member functions size, at and substr. Your function must be recursive.