What is the nth term of the sequence 5 15 31 53?

Well, isn't that just a happy little sequence we have here! To find the pattern, we can see that the differences between the terms are increasing by 2 each time. So, the nth term can be found by the formula n^2 + 4. Just like painting a beautiful landscape, sometimes all we need is a little patience and observation to uncover the hidden beauty within numbers.