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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 "Explain arithmetic and geometric progressions back to me"

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

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Quiz: An indicial equation that becomes a quadratic in a power

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Practice: Solving 2 to the power x equals 32

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Show All Working: A word problem that leads to an indicial equation

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Worked Example: Writing an index statement as a logarithm

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Quiz: Writing a logarithm as an index statement

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Practice: Evaluating log to base 2 of 8

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Show All Working: The common logarithm, to base ten

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Final Revision: The characteristic and the mantissa of a logarithm

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Practice: Combining two logarithms into one

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

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Quiz: Evaluating log to base 3 of 7 by change of base

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Practice: The relation between log a of b and log b of a

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

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Final Revision: Using change of base to prove a stated relation

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Final Revision: Describing a sequence in words and then in symbols

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

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

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