Answer:
Step-by-step explanation: I am used to describing arithmetic sequences like this:
3
,
5
,
7
,
.
.
.
3,5,7,...3, comma, 5, comma, 7, comma, point, point, point
But there are other ways. In this lesson, we'll be learning two new ways to represent arithmetic sequences: recursive formulas and explicit formulas. Formulas give us instructions on how to find any term of a sequence.
To remain general, formulas use
n
nn to represent any term number and
a
(
n
)
a(n)a, left parenthesis, n, right parenthesis to represent the
n
th
n
th
n, start superscript, start text, t, h, end text, end superscript term of the sequence. For example, here are the first few terms of the arithmetic sequence 3, 5, 7, ...
, we end up with
is any integer)