Recursion With Geometric Sequences (VCE SSCE General Mathematics): Flashcards

Mathematical way to describe how a sequence is generated

Initial value and rule for next term

$t_0 = a, t_{n+1} = Rt_n$

Starting value (first term)

Common ratio (multiplier for each term)

$t_n = R^n imes a$

Term number (applications of rule)

Find any term without calculating all previous ones

Number of times rule has been applied

$3 imes 3 imes 3 imes 2 = 54$