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Further Mathematics

AI prompts for senior secondary learners.

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755 prompts matching "Why the sum to infinity fails when the ratio reaches one"

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Applying the sum to infinity formula when the ratio lies between minus one and one

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on usin

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Show All Working: The sum to infinity of a geometric progression, and when it exists

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on the sum to infi

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Explaining why sum to infinity only works for |r| < 1

I am in SS 1. Quiz me with 5 short Additional Maths questions on explaining, using a numer

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Common Mistakes: Rationalising when both terms of the denominator are surds

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on rat

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Worked Example: Which form of the sum formula to use when r is less than one

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Rationalising the denominator when it's a surd minus a surd

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir

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Final Revision: Why brackets matter when an operation is not associative

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Explaining why we rationalise denominators

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Worked Example: Why the square root of a non-square whole number is irrational

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Common Mistakes: Why a rational number added to an irrational one stays irrational

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Quiz: Rationalising a denominator of the form one over root 3

Act as my SS1 Further Mathematics tutor and quiz me on rationalising a denominator of the

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Spot My Mistake: Rationalising and then cancelling a common factor

Act as my SS1 Further Mathematics tutor. Work a question on rationalising and then cancell

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Final Revision: Why distributivity links two operations rather than one

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Practice: Finding n when the sum of an arithmetic progression is given

Act as my SS1 Further Mathematics tutor. Give me five practice questions on finding n when

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Spot My Mistake: Finding the common ratio when the third and sixth terms are given

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Practice: Finding n when the sum of a geometric progression is given

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Explain Back: The sum of a geometric progression with a negative common ratio

I have just studied the sum of a geometric progression with a negative common ratio in my

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Factorising the sum and difference of two cubes

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on fact

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