- Please answer each question fully, carefully and thoughtfully.
- No credit will be given for unreadable answers, please write neatly.
- Answer the questions in any order, but please number each answer.
- Make sure that your name is on your test.

- (3 points) Define the type boolean, describe the operations c++ supports on booleans
- (3 points) Give the syntax for an if-then-else statement.
- (3 points) State the flow of control for an if-then-else statement.
- (3 points) Give the syntax for a while statement.
- (3 points) State the flow of control for a while statement.
- (9 points) The file temp.dat contians a series of floating point numbers that represent the temprature over a period of time. Write a program that will print the average temprature for this time period.
- (6 points) Gauss observed that the sum of the first n integers
is (n+1)*n/2.
ie 1+2+3+4 = 10 = 5*4/2

Write a program which will prove this for all positive integers less than 100