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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "The sum to infinity of a geometric progression, and when it exists"

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Practice: Solving an inequality with the unknown in the denominator

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Common Mistakes: The range of values of x for which an expression stays positive

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Worked Example: The number of arrangements of n different objects in a row

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Show All Working: Arrangements of the letters of a given word

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Worked Example: The difference between a permutation and a combination

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Show All Working: Counting the handshakes, or the lines joining n points

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Explain Back: The compound angle formula for tan of A plus B

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WAEC Prep: The three forms of the double angle formula for cosine

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Show All Working: The half angle formulae and the t-substitution

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Common Mistakes: Giving the general solution of a trigonometric equation

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Explain Back: The effect of b in y equals sin bx on the period

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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Explain Back: The equation of the line through two given points

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Quiz: Finding the centre and the radius from the general equation

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WAEC Prep: The length of the tangent from an external point

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