Find a formula for the nth term in this arithmetic sequence:
a1 = -7, 22 = -1, a3 = 5, 24 = 11, ...

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences can be identified because each term is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

Here a1 is the first term and r is the common difference.

The given sequence is:

We can find the common difference by subtracting successive terms:

Since all the differences are equal, r=6. Thus, the general term is:

Operating:

The nth term is:

true

explanation: