Answer to Question #322715 in Python for petals

Question

Write recursive functions (you are not allowed using for or while loops) to solve the following problems:

-Write a function that prints hello for 500 times

-x in power y ( )

-Geometric progression with common ratio r. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3

Answer 1

def hello500():
    """Print "Hello" for 500 times
    """
    def hello(n):
        if n == 0:
            return
        print("Hello")
        hello(n-1)


    hello(500)


def power(x, y):
    """Calculate x in power y
    """
    if y < 0:
        return power(x, -y)
    if y == 0:
        return 1
    return power(x, y-1)*x


def geometric(a0, r, n):
    """Print n terms of geometric progression with first term a0
       and common ratio r
    """
    if n == 1:
        print(a0)
    else:
        print (a0, end=', ')
        geometric(a0*r, r, n-1)
    


def main():
    hello500()
    print(power(2,10))
    geometric(2, 3, 4)


main()