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
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