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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 "Test me under exam conditions on sequences and series"

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

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Quiz: The law for dividing powers of the same base

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Common Mistakes: Why the index laws need the bases to match

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Learn: Why any non-zero number to the power nought is one

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Spot My Mistake: A negative fractional index

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

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Spot My Mistake: An indicial equation involving fractional bases

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Common Mistakes: An indicial equation solved by substitution

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Learn: The definition of a logarithm as the index

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Quiz: Writing a logarithm as an index statement

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Common Mistakes: Reading a logarithm from a table

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

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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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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Common Mistakes: Proving the sum formula by pairing the terms

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Spot My Mistake: Solving a linear inequality that contains a fraction

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

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