8.04 Geometric sequences

Lesson

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^(n−1) for the general term of a geometric sequence and recognise its exponential nature

understand the limiting behaviour as n→∞ 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