Full Beaker "Homework"

fullbeaker.md

1. The table below shows the formulas for triangular, pentagonal, and hexagonal numbers.

...	...	...
Triangular	Tn = n(n+1)/2	1, 3, 6, 10, 15, ...
Pentagonal	Pn = n(3n-1)/2	1, 5, 12, 22, 35, ...
Hexagonal	Hn = n(2n-1)	1, 6, 15, 28, 45, ...

The number T₂₈₅ = P₁₆₅ = H₁₄₃ = 40755 is a triangular number, a pentagonal number, and a hexagonal number. Write code to find the next number like this.

2. Describe a situation where something you wrote was unacceptably slow and/or memory intensive. What did you do to fix it?

3. The following javascript is intended to print twenty asterisks, but is incorrect.

    var i = 0, n = 20;
    do
    {
        document.write("*");
        i--;
    } while ( i < n );

There are at least 4 ways to fix it by replacing exactly one character. What are they?