Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →956 prompts matching "Show that a geometric series converges and find its sum to infinity"
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IGCSE Additional Maths Y11: Finding a curve from its gradient function and one point — Common Mistakes
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca
Subscribe to unlock allShow All Working: Why a conditional and its converse are not equivalent
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on why a condition
Subscribe to unlock allShow that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Subscribe to unlock allShow that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Subscribe to unlock allWorked example: sum to infinity of a geometric series
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf
Subscribe to unlock allWorked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Subscribe to unlock allWorked 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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Subscribe to unlock allWorked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Subscribe to unlock allWorked 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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Subscribe to unlock allWorked 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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Subscribe to unlock allReal-life application of sequences and series
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sequen
Subscribe to unlock allWAEC Prep: Expressions that are not polynomials, and why not
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Subscribe to unlock allFind sum and product of roots of 2x^2 - 5x + 3 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Subscribe to unlock allFind sum and product of roots of x^2 + 4x - 12 = 0
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Subscribe to unlock allFind sum and product of roots of 3x^2 + 7x - 6 = 0
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Subscribe to unlock allFind sum and product of roots of x^2 - 8x + 15 = 0
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Subscribe to unlock allWorked example: finding and classifying a stationary point
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary
Subscribe to unlock allSummarise sequences and series for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Subscribe to unlock allWorked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Subscribe to unlock allWorked example: find the equation of the line through (2,3) and (5,9)
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