1. Objectives
Completing
all tasks in this assignment will help you:
·
practice with the while
loop
·
write code that gives sensible
answers even when the input data is empty
·
practice creating Boolean tests for
novel mathematical situations
First skim, then carefully
read the entire assignment before
starting any tasks.
2. Geometric Mean
The geometric mean of a set of numbers x1 through xn is defined as the nth
root of the product of the numbers:
geometric mean = (x1 x2 x3 … xn )1/n (1)
Write a MATLAB program that will accept an arbitrary number of possible input
values and calculate the geometric mean of the numbers. Use a while loop to get the input values
and terminate the input when a user enters a negative number.
What does your program do if the user enters a negative number as the very
first value? Is that what you want it
to do? Can you fix it?
Test your program by calculating the geometric mean of the four numbers 10, 5, 2, and 25.
Save your script file as GeoMean.m
3. Not a perfect square
Demonstrate,
for the first 10000 positive integers n, that
floor( n + sqrt(n) + 1/2 ) (2)
is never a perfect square. Hint: What test can you devise to determine
if a number is a perfect square?
Your program should display a message only if (2) is a perfect square for some n in the range.
Save your script file as perfectSquare.m.
4. Submitting Your Work
Type your
name (and your partner’s name if you have one), student ID, and the date at the
top of each M-file. Print each file and sign them along with
your partner. Give the signed documents
to the teaching assistant at the end of the lab session.