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8.04 Geometric sequences

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Outcomes

ACMMM072

recognise and use the recursive definition of a geometric sequence:t_n+1=rt_n

ACMMM073

use the formula t_n=r^(nāˆ’1)t_1 for the general term of a geometric sequence and recognise its exponential nature

ACMMM074

understand the limiting behaviour as nā†’āˆž of the terms t_n in a geometric sequence and its dependence on the value of the common ratio r

ACMMM076

use geometric sequences in contexts involving geometric growth or decay, such as compound interest

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