To begin, let's observe the given terms in the sequence to determine the value of the first term as well as the .
We can use this information to write an equation for the term of the sequence.
Writing the Equation
equations for the
term of an follow a certain format.
In this form,
is the first term in the sequence,
is the common difference, and
is the position of the desired term in the sequence. Using the common difference
and the first term
, we can write and simplify the equation.
We can calculate the fifth term of the sequence,
, by substituting
into our equation.
The fifth term is
Graphing the Sequence
When graphing a sequence, the axis always represents the number of the term and the axis represents the value of the term
Now let's graph these points on a coordinate plane.