1,025 prompts matching "Mixed sequence exam question, arithmetic and geometric"
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Worked example: converse and inverse of a statement
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Worked example: expanding (x+y)^4 using Pascal's triangle
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Worked example: expanding (2x-3)^5 using the binomial formula
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WAEC question on indices and surds
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Worked example: sum to infinity of a geometric series
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Worked example: finding and classifying a stationary point
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Worked example: plotting a complex number on an Argand diagram
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Worked example: standard deviation of a small data set
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Summarise sequences and series for quick revision
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: find the equation of the line through (2,3) and (5,9)
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Worked example: find the distance between the points (1,2) and (4,6)
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Worked example: find the modulus and argument of 3+4i
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
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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 A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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