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Further Mathematics

AI prompts for senior secondary learners.

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1,112 prompts matching "Sum of a geometric series with a negative common ratio"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Common Mistakes: The range of values of x for which an expression stays positive

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Common Mistakes: Selections in which at least one of a kind must appear

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Common Mistakes: Giving the general solution of a trigonometric equation

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Common Mistakes: The coefficient of variation, for comparing two sets

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Common Mistakes: The centre of gravity of a uniform lamina

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Common Mistakes: The relative displacement of two bodies after a given time

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Common Mistakes: What becomes of the tension when the string goes slack

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Common Mistakes: The energy of a body in simple harmonic motion

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Common Mistakes: A particle oscillating on the end of an elastic string

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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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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

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Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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Evaluate log5(200) using change of base

I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang

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GP with 3rd term 18 and 6th term 486: find a and r

I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18

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Give me an exam formula sheet for sequences and series

I am in SS 3. Build me a short formula sheet covering every formula I need for arithmetic

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Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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Find the resultant of two forces #3

Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the

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