Functional programming homework: in f#, write functions that do what is described below:

returns a list of all numbers less than n that are divisible by 3 or 5.
returns a list of the first n numbers in the fibonacci sequence.
returns the sum of the digits in a number. 5342 should return 14.

Design a payroll class with the following fields: • name: a string containing the employee's name • idnumber: an int representing the employee's id number • rate: a double containing the employee's hourly pay rate • hours: an int representing the number of hours this employee has worked the class should also have the following methods: • constructor: takes the employee's name and id number as arguments • accessors: allow access to all of the fields of the payroll class • mutators: let the user assign values to the fields of the payroll class • grosspay: returns the employee's gross pay, which is calculated as the number of hours worked times the hourly pay rate. write another program that demonstrates the class by creating a payroll object, then asking the user to enter the data for an employee in the order: name, id number, rate, hours. the program should then print out a statement in the following format (for example, if you had an employee named chris jacobsen with id number 11111, who works for 5 hours at $10/hr): chris jacobsen, employee number 11111, made $50.00 in gross pay. using text forming so that the gross pay is rounded to two decimal places.