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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "IGCSE Additional Maths Y11: Differentiating a term with a negative index — Spot"

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Worked Example: The law for the logarithm of a quotient

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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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