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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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737 prompts matching "Structured question: polynomial with a given remainder pattern"

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

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

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Explain Back: A logarithmic equation written in two 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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Common Mistakes: The Fibonacci sequence and the rule behind it

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Worked Example: Finding the common difference of an arithmetic progression

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

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Explain Back: Finding the first term from the sum and the common difference

I have just studied finding the first term from the sum and the common difference in my SS

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Common Mistakes: Proving the sum formula by pairing the terms

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Worked Example: Finding the common ratio of a geometric progression

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Common Mistakes: Inserting a geometric mean between two numbers

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

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

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Practice: Reversing the sign when multiplying by a negative number

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