Answer:
The first 4 terms are 3,9,15, and 21
Explanation:
- The first term in the recursive formula is 3 (it is important because that would be the number we substitute for the second term. This logic also applies to finding the next term with the answer to the previous term)
- The formula is an = a(n-1) + 6. Because of this formula the nth on the right side is the previous one plus 6. With that in mind let find the mext three terms
- To find a2 you would first substitute n for 2 making it a2 = a(2-1) +6 which is a2 = a1 + 6. We know that the first term is 3 so we substitute a1 for 3 to get a2 = 3 + 6 which is 9. The second term is 9
- To find a3 we do the same steps for solving a2 only this time we use the second term to put in place of a2+ 6 which is 9 + 6 which equals to 15. The third term is 15
- Again we are doing the same steps to find a4 but we use the third term to substitute for a3 + 6 which is 15 + 6 which equals to 21. The fourth term is 21.
There's a image of all of the work above