755 prompts matching "Practice: The value of alpha to the fourth plus beta to the fourth"
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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Learn: The change of base formula
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Quiz: Evaluating log to base 3 of 7 by change of base
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Final Revision: Using change of base to prove a stated relation
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Worked Example: Writing out the terms of a sequence from its nth term
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Quiz: Finding the nth term of a linear sequence
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Explain Back: Spotting the pattern in a sequence of squares or cubes
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Worked Example: Finding the common difference of an arithmetic progression
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Quiz: The formula for the nth term of an arithmetic progression
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Show All Working: Deciding whether a number belongs to a given arithmetic progression
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Learn: The formula for the sum of the first n terms of an arithmetic progression
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Quiz: The sum of the first fifty natural numbers
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Spot My Mistake: The sum of an arithmetic progression with a negative common difference
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Worked Example: Finding the common ratio of a geometric progression
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Quiz: The formula for the nth term of a geometric progression
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Explain Back: Finding the first term from two given terms of a geometric progression
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Learn: The formula for the sum of the first n terms of a geometric progression
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Quiz: The sum of the first six terms of a given geometric progression
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Explain Back: The sum of a geometric progression with a negative common ratio
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Common Mistakes: A bouncing ball problem, and the total distance travelled
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