An = 7n-1 for 1 ≦ n ≦ 4 is short for these instructions: 1. Substitute 1 for n into 7n-1 and simplify what you get. 2. Write that down with a comma after it. 3. Substitute 2 for n into 7n-1 and simplify what you get. 4. Write that down next to the comma that you wrote in step 2, and put a comma after that. 5. Substitute 3 for n into 7n-1 and simplify what you get. 6. Write that down next to the comma that you wrote in step 4, and put a comma after that. 7. Substitute 4 for n into 7n-1 and simplify what you get. 8. Write that down next to the comma that you wrote in step 6, but don't put a comma after that because you are done. Now let's do that: 1. Substitute 1 for n into 7n-1 and simplify what you get. 7(1)-1 = 7-1 = 6 2. Write that down with a comma after it. 6, 3. Substitute 2 for n into 7n-1 and simplify what you get. 7(2)-1 = 14-1 = 13 4. Write that down next to the comma that you wrote in step 2, and put a comma after that. 6, 13, 5. Substitute 3 for n into 7n-1 and simplify what you get. 7(3)-1 = 21-1 = 20 6. Write that down next to the comma that you wrote in step 4, and put a comma after that. 6, 13, 20, 7. Substitute 4 for n into 7n-1 and simplify what you get. 7(4)-1 = 28-1 = 27 8. Write that down next to the comma that you wrote in step 6, but don't put a comma after that because you are done. 6, 13, 20, 27 That list is the answer. ------------------------ Note that: A1 = 6, A2 = 13, A3 = 20, A4 = 27. The 1 ≦ n ≦ 4 tells you to substitute for n all the integers from 1 to 4, inclusive, into An = 7n-1. Edwin