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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 "Quiz: Checking an inverse by multiplying to get the identity"

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Worked Example: The law for the logarithm of a quotient

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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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Final Revision: Proving a logarithmic identity from the laws

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

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Practice: Finding the nth term of a quadratic sequence

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Show All Working: Deciding whether a given number is a term of a sequence

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Practice: Finding the twentieth term of a given 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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Show All Working: The sum of the terms lying between two given positions

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Learn: What makes a sequence a geometric progression

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Worked Example: Finding the common ratio of a geometric progression

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Practice: Finding the eighth term of a given geometric progression

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Show All Working: A geometric progression with a fractional common ratio

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

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Learn: The formula for the sum of the first n terms of a geometric progression

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Practice: Finding n when the sum of a geometric progression is given

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