956 prompts matching "Show that a geometric series converges and find its sum to infinity"
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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
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Solve the logarithmic equation log5(x+3) + log5(2) = 2
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Simplify the surd expression sqrt(72) + sqrt(18)
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Simplify the surd expression sqrt(50) - sqrt(8)
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Simplify the surd expression (3+sqrt2)(3-sqrt2)
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Simplify the surd expression 5/(1+sqrt3)
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Simplify the surd expression (2+sqrt5)^2
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Worked example: simplify (3+2i) + (1-5i)
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Worked example: simplify (2+i)(3-4i)
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Worked example: simplify (4+3i)/(1-2i)
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: how many ways can 5 books be arranged on a shelf
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Worked example: how many ways can a committee of 4 be chosen from 10 people
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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Worked example: in how many ways can 6 people be seated around a circular table
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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Cambridge-style structured question: factorise x^2 + 9x + 20
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise x^2 - 11x + 24
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise x^2 + 3x - 28
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^