480 prompts matching "Learn: Deciding whether a stated matrix calculation is possible at all"
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Spot My Mistake: A logarithm to base e, the natural logarithm
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Common Mistakes: A logarithmic equation that becomes a quadratic
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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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Learn: What makes a sequence an 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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Learn: The formula for the sum of the first n terms 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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Common Mistakes: Proving the sum formula by pairing the terms
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Learn: What makes a sequence a 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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Learn: The formula for the sum of the first n terms of a geometric progression
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Worked Example: Which form of the sum formula to use when r is less than one
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Practice: Finding n when the sum of a geometric progression is given
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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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