The geometric 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 a geometric sequence in both tabular and graphical form and demonstrate that geometric sequences can be used to model exponential growth and decay in discrete situations.LO-2Use geometric sequences to model and analyse practical situations involving geometric growth and decay (use of logarithms not required), e.g. modelling the growth of a bacterial population that doubles in size each hour, calculating the value of an item using the diminishing-value method of depreciation.LO-3Use recursion to generate a geometric sequence.LO-4Use the rule for the 𝑛th term of a geometric sequence. 𝑡𝑛 = 𝑡1 𝑟(𝑛−1) where 𝑡𝑛 is 𝑛th term, 𝑡1 is first term, 𝑛 is term number and 𝑟 is common ratio
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