1, 4, 9, 16, 25 What is the next number? What is the 50th term?

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1, 4, 9, 16, 25
What is the next number?
What is the 50th term?

We see that 1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25

We build a formula for the nth term:
f(n) = n^2

The next number means n = 6th term:
f(6) = 6^2 = 36

The 50th term means n = 50:
f(50) = 50^2 = 2500