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Algebraic Structures and Proof · Autumn Term

Binomial Expansion for Rational Powers

Expanding expressions of the form (a+bx)^n where n is a rational number, and determining validity.

Key Questions

  1. Analyze the conditions under which a binomial expansion for rational powers is valid.
  2. Predict the behavior of the terms in an infinite binomial series.
  3. Evaluate the accuracy of an approximation using the first few terms of an expansion.

National Curriculum Attainment Targets

A-Level: Mathematics - Algebra and FunctionsA-Level: Mathematics - Sequences and Series
Year: Year 13
Subject: Mathematics
Unit: Algebraic Structures and Proof
Period: Autumn Term

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