4.04 Geometric sequences

Interactive practice questions

Study the pattern for the following geometric sequence, and write down the next two terms.

$3$3, $15$15, $75$75, $\editable{}$, $\editable{}$

Easy

< 1min

Study the pattern for the following geometric sequence, and write down the next two terms.

Easy

< 1min

Study the pattern for the following geometric sequence, and write down the next two terms.

Easy

1min

Study the pattern for the following geometric sequence, and write down the next two terms.

Easy

2min

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

use the formula t_n=r^(n−1)t_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, including compound interest and annuities