1,025 prompts matching "How many terms of an arithmetic progression lie between two values"
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Solve the logarithmic equation log(x+1) - log(x-1) = 2
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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
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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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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Non-calculator completing the square with fractional coefficients
I am in SS 2. Set me a non-calculator completing the square question where the coefficient
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Common Mistakes: Writing down the roots once the brackets are found
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Final Revision: A word problem solved by factorising a quadratic
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Final Revision: Why completing the square always works
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Final Revision: A word problem solved with the quadratic formula
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Final Revision: Checking both solutions in both equations
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Final Revision: A word problem that uses the remainder theorem
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Common Mistakes: Using the factor theorem before dividing
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Final Revision: A factor theorem question set in the WAEC style
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Common Mistakes: A cubic equation arising from a volume problem
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Final Revision: A compound proposition built from three simple ones
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Common Mistakes: Comparing two statements by their truth tables
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