Coding Exercises: Hello
1. Multiples of 3
Write a program that prints the first 10 multiples of 3. You
should write a class MultiplesOf3 in a file
MultiplesOf3.java
2. FizzBuzz
Write a FizzBuzz program. Your class should be named
FizzBuzz and your source file should be named
FizzBuzz.java.
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 Geometric.java 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 Cubes.java that prints out the cubes
of the counting numbers: 0, 1, 8, 27, 64, 125, …
5. Fibonacci sequence
Write a program Fibonacci.java 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?