Please find the law of these numbers: 3,6,10,15,21. What is the nth

Please find the law of these numbers: 3,6,10,15,21. What is the nth

3,6,10,15,21. A2-a1 = 3, a3-a2 = 4, a4-a3 = 5, a5-a4 = 6. An-a (n-1) = n + 1. Add a2-a1 + a3-a2 + a4-a3 +... + an-a (n-1) = 3 + 4 + 5 + 6 +... + (n + 1) an-a1 = (3 + N + 1) (n-1) / 2 = (n + 4) (n-1) / 2, an = 3 + (n + 4) (n-1) / 2