Write an equation for the nth term of the arithmetic sequence -7, -2, 3, 8...

33

Step-by-step explanation:

An arithmetic sequence has a definite pattern. If we look at the number -7 and -2, what do we have to do to get from -7 to -2? We just have to add 5. To check this, we can add 5 to -2 and it will be 3.

Now, we know what the pattern is. Now, we have to find the ninth term using this pattern.

8 is the fourth term. So, 5 + 8 is 13. 13 is the fifth term. 13 + 5, is 18. 18 is the sixth term. 18 plus 5 is 23. 23 is the seventh term. 23 plus 5 is 28. 28 is the eighth term. Finally, 28 plus 5 is 33. 33 is the ninth term.