677 prompts matching "Practice: Showing that x plus 3 is a factor of a given polynomial"
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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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Final Revision: Describing a sequence in words and then in symbols
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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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Final Revision: Inserting an arithmetic mean between two numbers
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Worked Example: The alternative sum formula that uses the last term
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Quiz: The sum of the first fifty natural numbers
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Final Revision: A savings problem modelled by an arithmetic progression
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Worked Example: Finding the common ratio of a geometric progression
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Quiz: The formula for the nth term of a geometric progression
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Explain Back: The sum of a geometric progression with a negative common ratio
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Final Revision: Proving the sum formula for a geometric progression
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Practice: Reversing the sign when multiplying by a negative number
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Explain Back: Solving a linear inequality that contains brackets
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Worked Example: The critical values of a quadratic inequality
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Quiz: Using a sketch of the parabola to read off the solution
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Explain Back: The solution when the quadratic expression is greater than nought
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