IFor programming problems, you have to use C++ language. You have to write

source code in pen. For algorithm design, you have to write the pseudocode with suitable

indentation. If you write C++ program for algorithm design problem, you will be given zero to

that problem.

1. Write a recursive function (not the program) that returns the sum of the cubes of the positive

integers from 0 to n, where n is a positive integer.

2. Write a recursive function (not the program) that returns true if the digits of a positive integer

are in increasing order; otherwise, the function returns false.

3. Write a recursive function that uses an array parameter to accept integers and returns

the average of the integers stored in the array. Assume that the size of the array be n.

4. Write a recursive function (not the program) to find sum and product of the following:

a)Sum=15+30+45+60+75+90+105+120+135+150+165+180+195+210+225

b) Product=2*3*5*7*9*11*13*17*19*23*29*31*37*41

5. Write a recursive function that gets an integer as a parameter and returns the pattern as

shown below. For example, if user passes an input integer 3 to the function, it should

output:

*

**

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**

*