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Further Mathematics

AI prompts for senior secondary learners.

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1,043 prompts matching "Applying the sum to infinity formula when the ratio lies between minus one and o"

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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: sum to infinity of a geometric series

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Summarise polynomials and the remainder/factor theorems for quick revision

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Spot My Mistake: What the formula gives when the discriminant is nought

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Spot My Mistake: Factorising the sum of two cubes

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Explain the quadratic formula back to me

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Quiz me on the finding the remainder when a cubic is divided by a linear factor

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Quiz me on arranging objects round a circle when two must sit together

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Teach me how to the general term formula of a binomial expansion

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Teach me rationalising the denominator

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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WAEC Prep: What the formula gives when the discriminant is negative

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Show All Working: Choosing between factorising and the formula

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Common Mistakes: A sign error in the formula, and how to catch it

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Show All Working: The point of contact when a line touches a curve

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Teach me the binomial expansion formula

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Use the quadratic formula on 2x^2 - 3x - 5 = 0

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Use the quadratic formula on x^2 + 4x - 7 = 0

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