7, 10, 15, 22 What is the next number in the sequence? What is the 500th term?

7, 10, 15, 22
What is the next number in the sequence?
What is the 500th term?

We see that:
1^2 + 6 = 7
2^2 + 6 = 10
3^3 + 6 = 15
4^2 + 6 = 22

We build our function as f(n) = n^2 + 6

Next term in the sequence is f(5)
f(5) = 5^2 + 6
f(5) = 25 + 6
f(5) = 31

Calculate the 500th term:
f(500) = 500^2 + 6
f(500) = 250,000 + 6
f(500) = 250,006