recognise and use the recursive definition of a geometric sequence:t_n+1=t_n r
develop and use the formula t_n=t_1*r^(nā1) for the general term of a geometric sequence and recognise its exponential nature
understand the limiting behaviour as nāā of the terms t_n in a geometric sequence and its dependence on the value of the common ratio r
use geometric sequences in contexts involving geometric growth or decay, such as compound interest
