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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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733 prompts matching "Structured question: composite function with a restricted domain"

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

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

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

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Show All Working: The sum of the terms lying between two given positions

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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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Practice: Finding the eighth term of a given geometric progression

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Explain Back: Finding the first term from two given terms 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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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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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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Explain Back: Solving a linear inequality that contains brackets

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Show All Working: Writing the solution of an inequality as a set

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

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Worked Example: The critical values of a quadratic inequality

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Practice: Using a table of signs to solve a quadratic inequality

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