739 prompts matching "Structured question: quadratic formula with exact surd answer"
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Worked Example: Converting a logarithm to base ten so that tables can be used
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Practice: The relation between log a of b and log b of a
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Explain Back: A logarithmic equation written in two different bases
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Worked Example: Writing out the terms of a sequence from its nth term
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Explain Back: Spotting the pattern in a sequence of squares or cubes
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Common Mistakes: The Fibonacci sequence and the rule behind it
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Worked Example: Finding the common difference of an arithmetic progression
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Practice: Finding the twentieth term of a given arithmetic progression
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Explain Back: Finding the first term from two given terms
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Practice: Finding n when the sum of an arithmetic progression is given
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Explain Back: Finding the first term from the sum and the common difference
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Worked Example: Finding the common ratio of a geometric progression
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Practice: Finding the eighth term of a given geometric progression
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Explain Back: Finding the first term from two given terms of a geometric progression
I have just studied finding the first term from two given terms of a geometric progression
Common Mistakes: Inserting a geometric mean between two numbers
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Practice: Finding n when the sum of a geometric progression is given
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Common Mistakes: A bouncing ball problem, and the total distance travelled
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Worked Example: Adding or subtracting the same number on both sides
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Practice: Reversing the sign when multiplying by a negative number
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