Geometric Sequences (Leaving Cert Mathematics): Flashcards

Each term = previous term × constant factor (common ratio)

Constant factor multiplying each term, denoted $r$

$a$

$T_n = ar^{n-1}$

$r = \frac{T_n}{T_{n-1}}$

$a, ar, ar^2, ar^3, ar^4, ...$

Show common ratio $\frac{T_n}{T_{n-1}}$ is constant

Multiplication by common ratio $r$

$r$

Common ratio