recognise and use the recursive definition of a geometric sequence:t_n+1=rt_n
use the formula t_n=r^(nā1)t_1 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, including compound interest and annuities
