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Further Mathematics

AI prompts for senior secondary learners.

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1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"

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Practice: Why the forces must sum to nought in two perpendicular directions

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why the forces

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WAEC Prep: Why the sum to infinity fails when the ratio reaches one

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the sum to inf

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Spot my mistake: geometric progression sum to infinity

I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v

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Spot My Mistake: Why the probabilities in a distribution must sum to one

Act as my SS3 Further Mathematics tutor. Work a question on why the probabilities in a dis

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Practice: The sum to infinity of a convergent geometric series

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Find the sum to infinity command word

I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric

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Worked Example: Drawing the polygon of forces to scale

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Worked Example: The total moment of three parallel forces about one end

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Worked Example: Matching each force to the sine of the angle opposite it

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Worked Example: Testing two vectors for perpendicularity

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Worked Example: The midpoint formula applied to a given segment

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Show that a geometric series converges and find its sum to infinity

I am in SS 3. Give me a structured question where I must first show a given geometric seri

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WAEC Prep: The dot product used to find the work done by a force

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WAEC Prep: The first term found from the sum to infinity and the ratio

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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Explain how to present working for full WAEC marks

I am in SS 3. Explain how to lay out my working clearly enough to earn full method marks i

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Worked Example: The associative law for the product of three matrices

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the as

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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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Worked Example: A singular matrix, and why it has no inverse

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