694 prompts matching "Practice: Factorising a cubic completely once one factor is known"
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Final Revision: Using change of base to prove a stated relation
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Practice: Finding the nth term of a quadratic sequence
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Spot My Mistake: A sequence defined by a recurrence relation
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Show All Working: Deciding whether a given number is a term of a sequence
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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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Practice: Finding the twentieth term of a given arithmetic progression
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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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Final Revision: Inserting an arithmetic mean between two numbers
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Spot My Mistake: The sum of an arithmetic progression with a negative common difference
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Common Mistakes: Proving the sum formula by pairing the terms
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Final Revision: A savings problem modelled by an arithmetic progression
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Practice: Finding the eighth term of a given geometric progression
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Spot My Mistake: Finding the common ratio when the third and sixth terms are given
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Common Mistakes: Inserting a geometric mean between two numbers
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Spot My Mistake: A compound interest problem modelled by a geometric progression
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Show All Working: The sum to infinity of a geometric progression, and when it exists
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Common Mistakes: A bouncing ball problem, and the total distance travelled
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