1,045 prompts matching "Learn: The formula for the sum of the first n terms of an arithmetic progression"
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Solve the logarithmic equation log2(x) + log2(x-2) = 3
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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: find the distance between the points (1,2) and (4,6)
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: expand (x+2)^5 fully using the binomial theorem
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Real-life application of measures of dispersion
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Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th
Quiz: Factorising a difference of two squares in order to solve it
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Practice: Factorising a quadratic with a common factor taken out first
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Practice: Working through a quadratic by completing the square, step by step
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Final Revision: Why completing the square always works
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Practice: Giving the roots correct to two decimal places
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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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Final Revision: One root twice the other, and what that gives
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Show All Working: Forming an equation whose roots are three alpha and three beta
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