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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,110 prompts matching "Sum of a series expressed with algebraic terms"

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

Practice: The difference of two sets, A minus B

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Explain Back: The symmetric difference of two sets

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Explain Back: Finding the identity element of a binary operation

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Worked Example: Collecting like surds in a single sum

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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

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Explain Back: The laws of logarithms for a product and for a quotient

I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt

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Worked Example: The discriminant, and what each of its three cases means

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Explain Back: The range of values of k for which the roots are real

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Practice: Finding alpha minus beta from the sum and the product

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

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

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Practice: Solving an inequality with the unknown in the denominator

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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Worked Example: The number of arrangements of n different objects in a row

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Practice: Arrangements when some of the objects are identical

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Show All Working: Arrangements of the letters of a given word

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

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Practice: The compound angle formula for cosine of A minus B

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