Now you will design a mysterious Fibonacci sequence calculator function. Before beginning, let's see the sequence. Of + 1! + 1 + 2! + 33 + 5! +84 + 13! +213 +. a) You need to design a function to solve the series up to your input number N. Use one function for factorial, one for power calculation (yes, you are not allowed to use any math library function), and one for series calculation. You will call the series function from the main function. It will call others and "return the series calculation. I suggest you keep the value of N within 7. Because, beyond that, you might get a runtime error. Hint: Carefully find a pattern based on the sequences.