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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 "Arrangements restricted at the first or the last place"

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WAEC Prep: Simplifying a logarithmic expression before evaluating it

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Show All Working: Solving a simple logarithmic equation

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Learn: The change of base formula

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

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Spot My Mistake: A logarithm to base e, the natural logarithm

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Worked Example: Writing out the terms of a sequence from its nth term

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

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Final Revision: Describing a sequence in words and then in symbols

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Worked Example: Finding the common difference of an arithmetic progression

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Quiz: The formula for the nth term of an arithmetic progression

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Spot My Mistake: The sum of an arithmetic progression with a negative 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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Quiz: The formula for the nth term of a geometric progression

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Spot My Mistake: Finding the common ratio when the third and sixth terms are given

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Show All Working: A geometric progression with a fractional common ratio

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

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Explain Back: The sum of a geometric progression with a negative common ratio

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

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