755 prompts matching "Test me under exam conditions on the binomial theorem"
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Learn: Reading index notation, the base and the exponent
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Quiz: The law for dividing powers of the same base
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Common Mistakes: Why the index laws need the bases to match
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Learn: Why any non-zero number to the power nought is one
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Practice: A fractional index with numerator one, read as a root
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Quiz: An indicial equation that becomes a quadratic in a power
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Learn: The definition of a logarithm as the index
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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Practice: The relation between log a of b and log b of a
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Common Mistakes: The Fibonacci sequence and the rule behind it
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Learn: What makes a sequence an arithmetic progression
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Spot My Mistake: Finding the common difference from two given terms
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Common Mistakes: An arithmetic progression with a negative common difference
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Common Mistakes: Proving the sum formula by pairing the terms
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Learn: What makes a sequence a geometric progression
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Spot My Mistake: Finding the common ratio when the third and sixth terms are given
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Common Mistakes: Inserting a geometric mean between two numbers
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Spot My Mistake: A compound interest problem modelled by a geometric progression
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Common Mistakes: A bouncing ball problem, and the total distance travelled
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