Alogorithms basic fundamentals questions please help me?

Question

The numbers in the table below are the result of executing an algorithm that has one parameter N, a non-negative integer, and produces sequences of integers as outputs. For values of N from 0 to 5, the algorithm produces the following sequences of numbers as outputs:

Determine the algorithm that was used to generate the numbers in this table, and

1. Write it down.
2. Execute it for N = 6, and write down your result.

What is the sequence of numbers for N = 6?

(Give your answer as integers separated by single spaces.)

Answer 1

Here is the algorithm:

there are 3*N numbers in the row

* Squares the number N, then changes the sign... so -N^2

* adds 1 to previous

* adds 3 to previous

* adds 5 to previous

* adds 9 to previous

... continues to add the next consecutive odd # to previous

For N=6

-N^2 = -36 is the first number in the row sequence and there are 3*N = 18 numbers in the row

Then the following consecutive odds are added to each term

+1 +3 +5 +7 +9 +11+13+15+17+19+21+23 +25 +27+ 29 +31+33

so the 6th row is:

-36 -35 -32 -27 -20 -11 0 13 28 45 64 85 108 133 160 189 220 253