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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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706 prompts matching "A tautology used to justify a rule of algebra"

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Learn: What an identity element is

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Common Mistakes: Checking an inverse by working the operation both ways

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Learn: Reading index notation, the base and the exponent

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Worked Example: Rewriting a negative index as a fraction

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Common Mistakes: Writing a root as a fractional index before simplifying

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Common Mistakes: An indicial equation solved by substitution

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Worked Example: Writing an index statement as a logarithm

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Common Mistakes: Reading a logarithm from a table

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Learn: What a sequence is, and what a term means

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Learn: What makes a sequence an arithmetic progression

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Common Mistakes: An arithmetic progression with a negative common difference

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

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Common Mistakes: Proving the sum formula by pairing the terms

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Learn: What makes a sequence a geometric progression

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Common Mistakes: Inserting a geometric mean between two numbers

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Learn: The four inequality symbols, and what each one means

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Worked Example: Adding or subtracting the same number on both sides

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Common Mistakes: A double inequality such as 2 less than x less than 7

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