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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,316 prompts matching "Finding the common ratio of a geometric progression"

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Spot My Mistake: The sum of the first n terms of an arithmetic progression

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Worked Example: Finding the first term and the common difference from two given terms

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Practice: The sum to infinity of a convergent geometric series

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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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Practice: Rationalising a denominator of the form root a

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

I have just studied rationalising a denominator of the form a plus root b using the conjug

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Practice: Finding the third root of a cubic when two are known

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Explain Back: Finding the reaction at each support of a loaded beam

I have just studied finding the reaction at each support of a loaded beam in my SS3 Furthe

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Quiz: The acceleration of a body sliding down a smooth incline

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Worked Example: The acceleration of a body moving round a circle at constant speed

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Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration

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Finding the making x the subject of a fractional function

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Finding f(x) given a description of the function rule

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Worked example: finding the matrix of cofactors and the adjugate

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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

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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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