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 …

In the formula, n is any term number and a (n) is the n th term. This formula allows us to simply plug in the number of the term we are interested in, and we will get the value of that term. In …

In the formula, n is any term number and a (n) is the n th term. This means a (1) is the first term, and a (n 1) is the term before the n th term.

Sal finds explicit formulas of arithmetic sequences given the first few terms of those sequences. He also explores equivalent forms of such formulas.

If you plotted points (x, y) where x is the term number and y is the value, an arithmetic sequence would form disconnected points that can form a line. It's identical to defining a function as the …

In the formula, n is any term number and a (n) is the n th term. This formula allows us to simply plug in the number of the term we are interested in, and we will get the value of that term. In …

Geometric sequence and nth term Learn Intro to geometric sequences Geometric sequence review

Let's look at an example problem to learn how to find the nth term of an arithmetic progression. Let's also derive the general expression for the nth term.

You're simply applying the arithmetic series formula all over again: a+d (n-1), where a is the first term, d is the amount the series steps by (called the common difference), and n tells you which …

For a sequence called g, if g(n) means the current term of g, g(n-1) means the previous term of g. Recursive formulae refer to the previous term (s) to get new ones, so it works.