755 prompts matching "Counting the arrangements of people in a queue"
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Final Revision: Using change of base to prove a stated 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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Quiz: The formula for the nth term of an arithmetic progression
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Show All Working: Deciding whether a number belongs to a given arithmetic progression
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Learn: The formula for the sum of the first n terms of an arithmetic progression
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Quiz: The sum of the first fifty natural 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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Quiz: The formula for the nth term of a geometric progression
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Final Revision: Deciding whether a given sequence is a geometric progression
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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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Quiz: The sum of the first six terms of a given geometric progression
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Common Mistakes: A bouncing ball problem, and the total distance travelled
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Final Revision: Proving the sum formula for a geometric progression
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Learn: The four inequality symbols, and what each one means
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Learn: Factorising a quadratic before solving the inequality
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Practice: Using a table of signs to solve a quadratic inequality
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Learn: What the modulus of a number means
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