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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 "Check whether my exam layout would satisfy a Cambridge examiner"

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Worked Example: Solving an indicial equation where one side must be factorised first

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Spot My Mistake: An indicial equation involving fractional bases

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Final Revision: Checking an indicial solution by substitution

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Worked Example: Writing an index statement as a logarithm

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Spot My Mistake: The logarithm of the base itself

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Worked Example: The law for the logarithm of a quotient

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Spot My Mistake: Evaluating an expression using the laws of logarithms

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Worked Example: Converting a logarithm to base ten so that tables can be used

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Spot My Mistake: A logarithm to base e, the natural logarithm

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Worked Example: Writing out the terms of a sequence from its nth term

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Spot My Mistake: A sequence defined by a recurrence relation

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Worked Example: Finding the common difference of an arithmetic progression

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Spot My Mistake: Finding the common difference from two given terms

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Worked Example: The alternative sum formula that uses the last term

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Spot My Mistake: The sum of an arithmetic progression with a negative common difference

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Worked Example: Finding the common ratio of a geometric progression

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Spot My Mistake: Finding the common ratio when the third and sixth terms are given

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Final Revision: Deciding whether a given sequence is a geometric progression

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Worked Example: Which form of the sum formula to use when r is less than one

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Spot My Mistake: A compound interest problem modelled by a geometric progression

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