1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"
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Practice: The difference of two sets, A minus B
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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Learn: Simplifying a surd by extracting the largest perfect square
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Spot My Mistake: Squaring a bracket that contains a surd
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Spot My Mistake: The power law of logarithms
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Learn: The degree of a polynomial and its leading coefficient
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Practice: Finding the third root of a cubic when two are known
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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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Spot My Mistake: Showing the solution of an inequality on a number line
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Practice: Arrangements when some of the objects are identical
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Practice: Choosing a committee that must contain one particular person
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
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Learn: Solving sin x equals a given value between 0 and 360 degrees
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Learn: The shape, period and range of the sine curve
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Practice: The effect of a in y equals a sin x
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Spot My Mistake: The effect of c in y equals sin x plus c
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