755 prompts matching "Why the probabilities in a distribution must sum to one"
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Explaining why sum to infinity only works for |r| < 1
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Applying the sum to infinity formula when the ratio lies between minus one and one
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Factorising the sum and difference of two cubes
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Learn: Why a surd is never left in the denominator
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Common Mistakes: Why the index laws need the bases to match
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Show All Working: The sum to infinity of a geometric progression, and when it exists
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Explaining why a^1/n means the nth root of a
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Explaining why we rationalise denominators
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Finding a term given the sum of a series
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Deriving the geometric series sum formula
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Finding the first term or common difference from the sum formula
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Worked Example: Why multiplying by the conjugate clears the surd
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Explain Back: Solving an equation where the surd must be isolated first
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Final Revision: Why closure is checked before any other property
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Final Revision: Why distributivity links two operations rather than one
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Learn: Why any non-zero number to the power nought is one
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Worked Example: Solving an indicial equation where one side must be factorised first
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Practice: Finding n when the sum of an arithmetic progression is given
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Explain Back: Finding the first term from the sum and the common difference
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Common Mistakes: Proving the sum formula by pairing the terms
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