Coding Exercises: Hello
1. Multiples of 3
Write a program that prints the first 10 multiples of 3.
2. FizzBuzz
Write a FizzBuzz program.
Your program should iterate through the first 30 positive
integers, printing each one. However, if the integer \(n\) is a multiple of 3, print
Fizz instead of the number. And if \(n\) is a multiple of 5, print
Buzz instead. And if \(n\) is a multiple of both 3 and 5,
print FizzBuzz instead.
Sample output:
1
2
Fizz
4
Buzz
Fizz
7
8
Fizz
Buzz
11
Fizz
13
14
FizzBuzz
16
.
.
.3. Geometric sequence
Write a program that prints out the first terms of a geometric sequence, i.e. a sequence with a common ratio, for example: 3, 6, 12, 24, 48, …
4. Cubes
Write a program that prints out the cubes of the counting numbers: 0, 1, 8, 27, 64, 125, …
5. Fibonacci sequence
Write a program that prints out the first 30 terms of the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …
Hint: I find it easiest to think about this problem using 3 variables: \(a\) and \(b\) slide up the sequence, and we use a temporary variable \(c\) to help do this.
Challenge: After you’ve done this exercise, try doing it using only 2 variables.
Challenge: Try printing out the ratios of successive terms of the Fibonacci sequence. The sequence of ratios approaches a limit - do you recognize what this limit is?