Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →232 prompts matching "A sequence defined by a recurrence relation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Simplify the surd expression (2+sqrt5)^2
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Subscribe to unlock allSolve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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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 allWorked example: construct the truth table for (p AND q) OR (NOT p)
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Subscribe to unlock allWorked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Subscribe to unlock allWorked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Subscribe to unlock allWorked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Subscribe to unlock allStructured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Subscribe to unlock allWord problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Subscribe to unlock allCambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Subscribe to unlock allFind k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Subscribe to unlock allShow All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
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