These assignments are designed to help you to develop the skills you need, over time, so that by the time you sit the STEP exam in the summer of Y13 you will feel well-prepared.
Hints and Partial Solutions:. More information on this and related functions can be found here. The final question involves a linear Diophantine equation, i. However, you should not be daunted. The final question involves a linear Diophantine equation, i. Further reading More information on Diophantine equations can be found in this article on Plus, the free online mathematics magazine, and in this Wikipedia entry.
We suggest working through the first assignment and second assignment before starting this.
STEP is a challenging examination, and is different in style from A-level, although the mathematical content is the same. The warm up for this assignment involves the sigma notation, and a proof of the formula for the sum of the terms of a geometric progression.
For the last part, use the formula rather than summing the individual terms, and try to do this without using a calculator. About this assignment The assignment is published as a pdf file below.