1,110 prompts matching "Sum of a series expressed with algebraic terms"
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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
I have just studied rationalising a denominator of the form a plus root b using the conjug
Explain Back: The laws of logarithms for a product and for a quotient
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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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