743 prompts matching "Structured question: geometric progression with two given terms"
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Show All Working: Solving a simple logarithmic equation
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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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Common Mistakes: A logarithmic equation that becomes a quadratic
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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: Which form of the sum formula to use when r is less than one
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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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Explain Back: Solving a linear inequality that contains brackets
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Show All Working: Writing the solution of an inequality as a set
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Common Mistakes: A double inequality such as 2 less than x less than 7
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Worked Example: The critical values of a quadratic inequality
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Practice: Using a table of signs to solve a quadratic inequality
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Explain Back: The solution when the quadratic expression is greater than nought
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Show All Working: Writing a quadratic solution set in interval form
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Common Mistakes: A quadratic inequality that has to be rearranged first
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Worked Example: Solving the equation modulus of x equals a
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