755 prompts matching "Learn: The formula for the general term of an expansion"
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Learn: What closure means for a binary operation
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Learn: What it means for an operation to be commutative
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Learn: Reading index notation, the base and the exponent
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Worked Example: The law for multiplying powers of the same base
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Quiz: The law for dividing powers of the same base
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Learn: Why any non-zero number to the power nought is one
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Learn: Solving an equation by writing both sides to the same base
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Learn: The definition of a logarithm as the index
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Final Revision: The characteristic and the mantissa of a logarithm
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Worked Example: The law for the logarithm of a quotient
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Quiz: The law for the logarithm of a power
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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Practice: The relation between log a of b and log b of a
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Show All Working: Deciding whether a given number is a term of a sequence
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Worked Example: Finding the common difference of an arithmetic progression
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Practice: Finding n when the sum of an arithmetic progression is given
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Spot My Mistake: The sum of an arithmetic progression with a negative common difference
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Show All Working: The sum of the terms lying between two given positions
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Spot My Mistake: Finding the common ratio when the third and sixth terms are given
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