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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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459 prompts matching "proving a statement is a tautology"

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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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Quiz: Writing a logarithm as an index statement

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WAEC Prep: Why the logarithm of a negative number does not exist

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Common Mistakes: Reading a logarithm from a table

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Final Revision: The characteristic and the mantissa of a logarithm

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

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Common Mistakes: An arithmetic progression with a negative common difference

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Practice: Finding n when the sum of an arithmetic progression is given

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Common Mistakes: Inserting a geometric mean between two numbers

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

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Show All Working: The sum to infinity of a geometric progression, and when it exists

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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

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