Linear (Arithmetic) Sequences (Leaving Cert Mathematics): Flashcards

A set of objects (usually numbers) listed in order

Sequence where difference between consecutive terms is constant (called common difference)

$d$

$a$

$T_n = a + (n-1)d$

Term at position $n$

$d = T_n - T_{n-1}$

Show $T_n - T_{n-1}$ is constant

Natural number

$a, a+d, a+2d, a+3d, ...$

$a$ (first term)