Arithmetic Sequences.

If the terms of a sequence differ by a constant, we say the sequence is arithmetic. If the initial term (\(a_0\)) of the sequence is \(a\) and the common difference is \(d\text{,}\) then we have,

Recursive definition: \(a_n = a_{n-1} + d\) with \(a_0 = a\text{.}\)

Closed formula: \(a_n = a + dn\text{.}\)