1. Write a recursive function to determine if a number is divisible by 3, without using % or loops. 2. Write a recursive function to print out the numbers from 1 to n, counting by 3's. Do not use loops. 3. Write a recursive function to print the numbers n to 1, counting by 2's 4. Write a recursive function to print the numbers n to 1, counting by k's 5. Write a recursive function to compute the n'th number in the following sequence: - the first number is 1 - the second number is 2 - the n'th number is the product of the previous two numbers for example, s(3) is 2, s(4) is 4, s(5) is 8, s(6) is 32... 6. Write a recursive function to compute the n'th number in the following sequence: - the first number is 2 - the second number is 2 - the n'th number is the difference of the previous two numbers, plus 2 7. Write a recursive function to compute the n'th number in the following sequence: - the first number is 1 - the second number is 2 - the third number is 2 - the n'th number is the previous number times 3, minus 1. 8. Write a recursive function to compute the alternating sum 1-2+3-4+5-6+7-8...±n