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4 of 4 objectives have lessons · 0 studied · 0 secure
What Cambridge says you should be able to do, in our words. Codes are the topic number plus the objective’s position.
Use the expansion of (a + b)ⁿ, where n is a positive integer.
Includes the notations n! and the binomial coefficient written as n over r in brackets. Knowledge of the greatest term and of properties of the coefficients is not required.
Taught in: The binomial expansion of (a + b)ⁿ, Finding one term of a binomial expansion · 12 questions
Recognise arithmetic and geometric progressions.
Taught in: Arithmetic progressions: the nth term, Geometric progressions: the nth term, Problems with two progressions · 4 questions
Use the formulae for the nth term and for the sum of the first n terms to solve problems involving arithmetic or geometric progressions.
Includes knowing that numbers a, b, c are 'in arithmetic progression' if 2b = a + c (or equivalent) and 'in geometric progression' if b² = ac (or equivalent). Questions may involve more than one progression.
Taught in: Arithmetic progressions: the nth term, Summing an arithmetic progression, Geometric progressions: the nth term, Summing a geometric progression, Problems with two progressions · 27 questions
Use the condition for the convergence of a geometric progression, and the formula for the sum to infinity of a convergent geometric progression.
Taught in: Sum to infinity of a geometric progression, Problems with two progressions · 7 questions