755 prompts matching "The condition for a geometric series to converge"
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Worked Example: Testing whether star distributes over plus
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Quiz: Finding the identity element from an operation table
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Spot My Mistake: Finding the inverse of a given element
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Learn: Reading index notation, the base and the exponent
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Practice: A fractional index with numerator one, read as a root
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Common Mistakes: Writing a root as a fractional index before simplifying
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Final Revision: Converting an answer back out of index form
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Worked Example: Solving an indicial equation where one side must be factorised first
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Learn: The definition of a logarithm as the index
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Practice: Evaluating log to base 2 of 8
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Spot My Mistake: The logarithm of the base itself
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Practice: Combining two logarithms into one
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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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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Practice: The relation between log a of b and log b of a
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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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Practice: Finding the nth term of a quadratic sequence
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