Implement a recursive function in C to calculate the nth term of the Fibonacci sequence. Test its efficiency for large values of n.

Using recursion, write a Python function def before(k,A) which takes an integer k and an array A of integers as inputs and returns a new array consisting of all the integers in A which come before the last  occurrence of k in A, in the same order they are in A. For example, if A is [1,2,3,6,7,2,3,4] then before(3,A) will return [1,2,3,6,7,2]. If k does not occur in A, the function should return None.

Consider a recursive function, called f, that computes powers of 3 using only the + operator. Assume n > = 0. int f(int n) { if (n == 0) return 1; return f(n-1) + f(n-1) + f(n-1); } Give an optimized version of f, called g, where we save the result of the recursive call to a temporary variable t, then return t+t+t. i got int g(int n) { if (n == 0) return 1; int t = g(n - 1); return t+t+t; } so now Write a recurrence relation for T(n), the number addition operations performed by g(n) in terms of n.

Problem 1. Construct a non-recursive procedure capable of reversing a single linked list of n elements, which runs in O(n) time. Can the same be achieved in (n) time? If so, construct it.

Give a recursive definition for the set of all strings of a’s and b’s that begins with an a and ends in a b. Say, S = { ab, aab, abb, aaab, aabb, abbb, abab..} Let S be the set of all strings of a’s and b’s that begins with a and ends in a b. The recursive definition is as follows – Base:... Recursion: If u ∈ S, then... Restriction: There are no elements of S other than those obtained from the base and recursion of S.

4. Given the following recursive definitionseq(1) = seq(2) = 1seq(n) = 2 ∗ seq(n − 1) + 3 ∗ seq(n − 2)implement the corresponding program and use it to calculate seq(5).How many invocations are made to the function seq when calculating seq(5)?

Solve the recursion by substitution: T(n) = 3T(n/2)+ 5n where T(1)=1

Using recursion, segregate an array of integers to have the even integers come before the odd using C++

write a recursive function in F#, named indexWiseMax, that takes two list of integers and outputs the index-wise maximum values of two lists. use pattern matching to receive the arguments, lst1, and lst2 and return a list that has the max element for each index of both lists. let rec indexWiseMax lst1 lst2 = match lst1, lst2 with

solve by hand do not use code