1,130 prompts matching "Deciding whether a number belongs to a given arithmetic progression"
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Worked Example: The intersection of two overlapping sets
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Quiz: The complement of a set within a stated universal set
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Practice: The difference of two sets, A minus B
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Final Revision: The power set, and how many subsets a set of n elements has
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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Quiz: Testing a binary operation for commutativity
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Practice: Testing a binary operation for associativity
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Learn: Simplifying a surd by extracting the largest perfect square
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Worked Example: Collecting like surds in a single sum
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Quiz: Multiplying two surds and simplifying the result
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Final Revision: Proving that root 2 is irrational
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
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Final Revision: Sketching the graph of a logarithmic function
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Learn: The sum and the product of the roots read from the coefficients
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Worked Example: The discriminant, and what each of its three cases means
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Final Revision: Solving a disguised quadratic by substitution
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Learn: Finding alpha squared plus beta squared from the sum and product
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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