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Senior Secondary

Further Mathematics

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707 prompts matching "Practice: Polynomial notation such as P of x"

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Final Revision: Evaluating a numerical expression using the index laws

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Show All Working: Simplifying an expression that mixes the index types

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Show All Working: A word problem that leads to an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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Final Revision: Checking an indicial solution by substitution

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Common Mistakes: Reading a logarithm from a table

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Final Revision: Proving a logarithmic identity from the laws

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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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Final Revision: Describing a sequence in words and then in symbols

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Common Mistakes: An arithmetic progression with a negative common difference

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Final Revision: Inserting an arithmetic mean between two numbers

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Common Mistakes: Proving the sum formula by pairing the terms

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Final Revision: A savings problem modelled by an arithmetic progression

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Show All Working: A geometric progression with a fractional common ratio

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Common Mistakes: Inserting a geometric mean between two numbers

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Final Revision: Deciding whether a given sequence is a geometric progression

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