请到「后台-用户-个人资料」中填写个人说明。
What are Permutations? A permutation is the number of possible arrangements of a set of objects when the order of the arrangements matters A permutation can either be finding the number of ways to...
What is meant by counting principles? The fundamental counting principle states that if there are m ways to do one thing and n ways to do another there are m × n ways to do both things Applying cou...
How do I use the binomial theorem for fractional and negative indices? How do we use the binomial theorem to estimate a value? The binomial expansion can be used to form an approximation for a valu...
Binomial Theorem What is the Binomial Theorem? The binomial theorem (sometimes known as the binomial expansion) gives a method for expanding a two-term expression in a bracket raised to a power A b...
What is proof by contradiction? Proof by contradiction is a way of proving a result is true by showing that the negation can not be true It is done by: Assuming the negation (opposite) of the resul...
What is proof by induction? Proof by induction is a way of proving a result is true for a set of integers by showing that if it is true for one integer then it is true for the next integer It can b...
What is proof? Proof is a series of logical steps which show a result is true for all specified numbers ‘Seeing’ that a result works for a few numbers is not enough to show that it will work for al...
What is compound interest? Interest is a small percentage paid by a bank or company that is added on to an initial investment Interest can also refer to an amount paid on a loan or debt, however IB...
Many real-life situations can be modelled using sequences and series, including but not limited to: patterns made when tiling floors; seating people around a table; the rate of change of a populati...
