676 prompts matching "Show that command word: laws of indices"
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Worked Example: Converting a logarithm to base ten so that tables can be used
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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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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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Learn: The formula for the sum of the first n terms of an arithmetic progression
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Worked Example: The alternative sum formula that uses the last term
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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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Learn: The formula for the sum of the first n terms of a geometric progression
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Worked Example: Which form of the sum formula to use when r is less than one
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Quiz: The sum of the first six terms of a given geometric progression
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Spot My Mistake: Solving a linear inequality that contains a fraction
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Worked Example: The critical values of a quadratic inequality
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Quiz: Using a sketch of the parabola to read off the solution
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Learn: What the modulus of a number means
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