755 prompts matching "Testing whether a binary operation is closed on a given set"
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Learn: Why any non-zero number to the power nought is one
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Spot My Mistake: A negative fractional index
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Common Mistakes: Writing a root as a fractional index before simplifying
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Worked Example: Solving an indicial equation where one side must be factorised first
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Spot My Mistake: An indicial equation involving fractional bases
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Common Mistakes: An indicial equation solved by substitution
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Common Mistakes: Reading a logarithm from a table
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Final Revision: The characteristic and the mantissa of a logarithm
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Spot My Mistake: A sequence defined by a recurrence relation
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Common Mistakes: The Fibonacci sequence and the rule behind it
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Practice: Finding the twentieth term of a given arithmetic progression
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Common Mistakes: An arithmetic progression with a negative common difference
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Spot My Mistake: The sum of an arithmetic progression with a negative common difference
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Common Mistakes: Proving the sum formula by pairing the terms
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Practice: Finding the eighth term of a given geometric progression
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Common Mistakes: Inserting a geometric mean between two numbers
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Worked Example: Which form of the sum formula to use when r is less than one
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