Oak programming write a program on we had a string how to find it is palindrome or not using recursion.

A hexagonal fractal pattern has the sequence {1, 6, 36, 216, …}. The recursive formula is ________.

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Design and implement a recursive program(in java) to determine and print the Nth line of Pascal's triangle, as shown below. Each interior value is the sum of the two values above it. Hint: Use an array to store the values on each line.

in c++ please paste working code. the program should  Input- Julia Lucas Mia -1 With an expected output of-  Julia Lucas Mia Julia Mia Lucas Lucas Julia Mia Lucas Mia Julia Mia Julia Lucas Mia Lucas Julia

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…