661 prompts matching "Practice: Using a binomial expansion to approximate a number"
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Final Revision: Proving a logarithmic identity from the laws
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Learn: The change of base formula
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Explain Back: A logarithmic equation written in two different bases
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Learn: What a sequence is, and what a term means
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Worked Example: Writing out the terms of a sequence from its nth term
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Quiz: Finding the nth term of a linear sequence
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Explain Back: Spotting the pattern in a sequence of squares or cubes
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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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Final Revision: Describing a sequence in words and then in symbols
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Learn: What makes a sequence an arithmetic progression
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Worked Example: Finding the common difference of an arithmetic progression
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Quiz: The formula for the nth term of an arithmetic progression
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Explain Back: Finding the first term from two given terms
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Spot My Mistake: Finding the common difference from two given terms
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Common Mistakes: An arithmetic progression with a negative common difference
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Learn: The formula for the sum of the first n terms of an arithmetic progression
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Worked Example: The alternative sum formula that uses the last term
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