IB DP Maths: AA HL复习笔记1.5.1 Proof by Induction
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 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...
Resistors in Series & Parallel Resistors in Series When two or more components are connected in series: The combined resistance of the components is equal to the sum of individual resist...
Required Practical: Investigating Resistivity Aims of the Experiment The aim of the experiment is to determine the resistivity of a 2 metre constantan wire Variables: Independent variable = ...
Superconductivity All materials have some resistivity - even good electrical conductors such as copper and silver Resistance means that when electricity flows through a material, it heats up...
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...
What is a geometric sequence? In a geometric sequence, there is a common ratio, r, between consecutive terms in the sequence For example, 2, 6, 18, 54, 162, … is a sequence with the rule ‘start at ...
What is an arithmetic sequence? In an arithmetic sequence, the difference between consecutive terms in the sequence is constant This constant difference is known as the common difference, d, of th...
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