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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Quiz: The formula for the nth term of a geometric progression"

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Real-life application of the condition for a line to be tangent to a curve

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Discriminant and the nature of roots

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Quiz me on when a conjunction of three statements is true

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Quiz me on Reading a binomial coefficient off Pascal's triangle

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Teach me changing the base of a logarithm

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Quiz me on arithmetic and geometric progressions

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Teach me the basics of differentiation

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Summarise polynomials and the remainder/factor theorems for quick revision

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Summarise the binomial theorem for quick revision

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Summarise measures of dispersion for quick revision

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: find the equation of the line through (2,3) and (5,9)

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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Worked example: find the magnitude of the vector (3,4)

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Worked example: find the unit vector in the direction of (6,8)

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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