IB DP Maths: AA SL复习笔记1.4.1 Proof
Language of Proof 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 ...
Language of Proof 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 ...
Compound Interest 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 o...
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...
Geometric Sequences 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...
Arithmetic Sequences 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 ...
Language of Sequences & Series What is a sequence? A sequence is an ordered set of numbers with a rule for finding all of the numbers in the sequence For example 1, 3, 5, 7, 9, … is a sequence ...
Solving Exponential Equations What are exponential equations? An exponential equation is an equation where the unknown is a power In simple cases the solution can be spotted without the use of a ca...
Laws of Logarithms What are the laws of logarithms? Laws of logarithms allow you to simplify and manipulate expressions involving logarithms The laws of logarithms are equivalent to the laws of ind...
Introduction to Logarithms What are logarithms? Why use logarithms? Logarithms allow us to solve equations where the exponent is the unknown value We can solve some of these by inspection For examp...
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