755 prompts matching "The identity linking alpha squared plus beta squared to the sum and product"
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Finding the common ratio from given terms
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Sum of the first n terms of a geometric series
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Deciding whether a geometric series converges
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Finding a term given the sum of a series
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Deriving the geometric series sum formula
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Finding the first term or common difference from the sum formula
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Word problem: total distance from a bouncing ball
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Sum of the first n odd numbers
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Explaining the difference between a sequence and a series
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Sequences applied to simple interest vs compound interest
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Alternating sequences and their pattern
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Explaining why sum to infinity only works for |r| < 1
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Condition for two lines to be parallel
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Condition for two lines to be perpendicular
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Finding the point of intersection of two lines
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Finding where a line crosses the x-axis and y-axis
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Finding the equation of a circle from its centre and radius
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Finding the centre and radius from a circle's equation
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Simultaneous equations of a line and the coordinate axes
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Finding an unknown coordinate using the gradient formula
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