Using the graph, we can list the first five terms of the sequence. Notice that the x-axis shows us n, the term number. The y-axis show us an, the value of the terms.
1stterm: 2ndterm: 3rdterm: 4thterm: 5thterm: -3-1135
Let's use the formula for the nth term of an arithmetic sequence to write an equation for the sequence.
In this equation, a1 is a first term and d is the common difference. From Part A, we know that the first term is -3. To find d we can calculate the difference between any two consecutive terms. Here we will use the fourth and fifth terms.
Now we can substitute these values into the formula.