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Further Mathematics

AI prompts for senior secondary learners.

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755 prompts matching "Give me common mistakes students make in sequences and series"

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Common Mistakes: Expanding the product of two surd brackets

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Common Mistakes: A binary operation that is ordinary addition in disguise

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Common Mistakes: Closure on a set of three elements under a stated rule

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Common Mistakes: Distributivity on a set of three elements

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Common Mistakes: Checking an inverse by working the operation both ways

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Common Mistakes: Why the index laws need the bases to match

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Common Mistakes: Writing a root as a fractional index before simplifying

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Common Mistakes: An indicial equation solved by substitution

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Common Mistakes: Reading a logarithm from a table

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Show All Working: Deciding whether a given number is a term of a sequence

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Learn: What makes a sequence an arithmetic progression

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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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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Common Mistakes: A double inequality such as 2 less than x less than 7

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Common Mistakes: A quadratic inequality that has to be rearranged first

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Common Mistakes: Reading a solution set off a graph

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