Modules - Looping and Branching

Teacher’s Notes:

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This exercise gets students to practice many simple looping and branching exercises.  

There is a tricky part where, if the programmer gets a series such as 200, 100, 50, 24 they may try to compare the quotients of successive numbers.  The quotients would be 200/100 = 2, 100/50 = 2, 50/24 = 2.08.  Thus this is NOT a geometric series.  However, if they use integers for their numbers, 50/24 = 2 since integers don't hold decimal values.  Thus, they may get a false positive for this case.  It makes for an interesting discussion about why this happens.  In my solution, you will see that I multiply the numbers in the equation by 1.0 instead of 1 (or not multiplying by anything).  This is to make the result of the equation a double instead of an int.

I used part 1 of the assignment for my CS10 class and part 2 for my CS20 class in the unit: Second Language Programming.  This is why the solutions are in different languages.

Assignment:

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An arithmetic series is a series of numbers that starts with some number n₀. Each number following n₀ is the previous number plus some value v. So, n_x+1 is the previous number n_x + v.

For example, if n₀ = 5 and v = 15 the first four numbers in the series would be

5, 20, 35, 50

In this problem, you will prompt the user for n₀ and n₂ (the first and third numbers in the series) and then print the first 10 digits in the series separated by a single space.

Input Specifications

The first and third numbers in the series

Output Specifications

The first 10 numbers in the series separated by spaces

Sample Input 1

2

6

Sample Output 1

2 4 6 8 10 12 14 16 18 20

Part 2:

A given series of numbers can be said to be arithmetic if every number n_x+1 is the sum of n_x and some value v. For example:

2 5 8 11

is arithmetic because each number can be found by taking the previous number and adding 3.

A given series of numbers can be said to be geometric if every number n_x+1 is the product of n_x and some factor f. For example:

2 6 18 54

is geometric because each number can be found by taking the previous number and multiplying it by 3.

Write a program that will read 4 integer values n₀,n₁,n₂,n₃ from the keyboard and state whether they represent an arithmetic series, a geometric series or neither.

Sample Input 1

2 5 8 11

Sample Output 1

arithmetic

Sample Input 2

2 6 18 54

Sample Output 2

geometric

Sample Input 3

2 5 8 12

Sample Output 3

neither

Solution for Part 1(C++):

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#include <iostream>

using namespace std;

int main() {

int number1, number3, v;

cin >> number1;

cin >> number3;

v = (number3 - number1)/2;

for(int x = 0; x < 10; x++){

    cout << number1 << " "; number1 += v;

}

}

Solution for Part 2 (JAVA):

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