Find the 15th term in the following

arithmetic sequence:

1, 6, 11, 16,

Answer: 71

Step-by-step explanation:

Every time the number in the sequence increases, it adds 5.

1. 1

2. 1+5=6

3. 6+5=11

4. 11+5=16

5. 16+5=21

6. 21+5=26

7. 26+5=31

8. 31+5=36

9. 36+5=41

10. 41+5=46

11. 46+5=51

12. 51+5=56

13. 56+5=61

14. 61+5=66

15. 66+5=71

71

Step-by-step explanation:

This arithmetic sequence starts at 1 and increases by 5 every time. The formula for this sequence could be expressed as A (n) = 1 + 5 (n-1).

Since you're finding the 15th term, substitute n = 15 into the formula.

A (15) = 1 + 5 ((15) - 1) = 1 + 5 (14) = 1 + 70 = 71