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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 "Limiting equilibrium, with a body on the point of sliding"

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

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Practice: A fractional index with numerator one, read as a root

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Explain Back: A fractional index with a numerator above one

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Show All Working: Simplifying an expression that mixes the index types

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Show All Working: The common logarithm, to base ten

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Worked Example: The law for the logarithm of a quotient

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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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Explain Back: Spotting the pattern in a sequence of squares or cubes

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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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Spot My Mistake: Finding the common difference from two given terms

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

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Common Mistakes: Proving the sum formula by pairing the terms

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

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WAEC Prep: A geometric progression with a negative common ratio

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

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Worked Example: The critical values of a quadratic inequality

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Spot My Mistake: The solution when the quadratic expression is less than nought

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WAEC Prep: Shading the region defined by a linear inequality

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