755 prompts matching "IGCSE Additional Maths Y11: Integrating a term with a fractional index — Explain"
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Practice: Combining two logarithms into one
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Explain Back: Splitting a single logarithm into several
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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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Explain Back: A logarithmic equation written in two different bases
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Show All Working: Comparing logarithms given in different bases
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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: Finding the common difference 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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Practice: Finding n when the sum of an arithmetic progression is given
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Worked Example: Finding the common ratio of a geometric progression
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Common Mistakes: Inserting a geometric mean between two numbers
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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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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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