Coursework.Info - Inspiration in an Instant

On the left is an image preview of every page of this document, and below are the first 150 words with formatting removed:

Borders Investigation Introduction Below is the starting point of my sequence of cross shapes Aim: To investigate the sequence of squares in a pattern needed to make any cross shapes built in this way and then extend your investigation to 3 dimensional. In this investigation I have been asked to find out how many squares would be needed to make up a certain pattern according to its sequence, also to derive algebraic formulae from the sequence each expressing one property in terms of another. I plan to solve my investigation by using a wide variety of mathematical tools such as the nth term and also using formulae which includes the linear and quadratic sequence, formulae will be checked and hopefully proven by different mathematical tools. My sequence starts with a single white square, and then it's surrounded by black squares (borders) which will form the next shape. To get the second or third shape the...

To see the full version of this document, and 145,841 others