Arithmetic progression
Constant difference
Use aₙ = a + (n − 1)d to predict any term.
Mathematics · Grade 12
Recognise how patterns grow, then predict and sum them.
Grade 12 begins with sequences and series: arithmetic progressions grow by a constant difference, while geometric progressions grow by a constant ratio.
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Sequences & Series Lab
Distinguish arithmetic from geometric patterns, calculate nth terms, and find finite sums with generated exact-value problems.
Geometric progression
Constant ratio
Use aₙ = arⁿ⁻¹ to model repeated multiplication.
Series
Add the terms
Use finite-sum formulas to connect sequence rules with accumulated totals.