700 prompts matching "Show that a geometric series converges and find its sum to infinity"
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Quiz: Rationalising a denominator of the form one over 2 plus root 3
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Final Revision: Checking a conjugate answer by multiplying back
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Learn: Solving an equation with a single square root term
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Quiz: Checking a surd equation for extraneous roots
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Learn: What a binary operation actually is
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Quiz: Evaluating a*b from a given rule
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Spot My Mistake: A binary operation defined on a set of three elements
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Final Revision: Deciding whether a given rule really is a binary operation
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Learn: What closure means for a binary operation
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Quiz: Testing the odd numbers for closure under addition
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Spot My Mistake: Reading closure off an operation table
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Final Revision: Why closure is checked before any other property
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Learn: What it means for an operation to be commutative
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Quiz: Reading commutativity off a symmetrical operation table
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Final Revision: Why brackets matter when an operation is not associative
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Learn: What it means for one operation to distribute over another
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Spot My Mistake: Checking distributivity from two operation tables
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Final Revision: Why distributivity links two operations rather than one
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