The arithmetic sequence
General Mathematics · Unit 3 — Bivariate data and time series analysis, sequences and Earth geometry · Growth and decay in sequences
Learning objectives (4)
LO-1Display the terms of an arithmetic sequence in both tabular and graphical form and demonstrate that arithmetic sequences can be used to model linear growth and decay in discrete situations.LO-2Use arithmetic sequences to model and analyse practical situations involving linear growth or decay, e.g. analysing a simple interest loan or investment, calculating a taxi fare based on the flag fall and the charge per kilometre, calculating the value of an item using the straight -line method of depreciation. General Mathematics 2025 v1.3LO-3Use recursion to generate an arithmetic sequence.LO-4Use the rule for the 𝑛th term of an arithmetic sequence. 𝑡𝑛 = 𝑡1 + (𝑛 − 1)𝑑 where 𝑡𝑛 is 𝑛th term, 𝑡1 is first term, 𝑛 is term number and 𝑑 is common difference
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