743 prompts matching "Structured question: geometric progression with two given terms"
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Worked Example: What makes two surds equal
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Worked Example: Adding two surds that simplify to the same root
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Common Mistakes: Expanding the product of two surd brackets
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Practice: Rationalising a denominator with a whole number multiplying the surd
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Explain Back: The difference of two squares applied to surd conjugates
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Show All Working: A conjugate where the surd term comes first
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Practice: Solving an equation with a surd on each side
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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Worked Example: Testing a*b against b*a for a given rule
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Practice: An operation that is not commutative, with a counter-example
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Show All Working: Simplifying an expression with letters and indices
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Practice: A fractional index with numerator one, read as a root
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Explain Back: A fractional index with a numerator above one
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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Practice: Combining two logarithms into one
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Explain Back: A logarithmic equation written in two different bases
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Show All Working: Comparing logarithms given in different bases
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Worked Example: Writing out the terms of a sequence from its nth term
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Practice: Finding the nth term of a quadratic sequence
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