Here are the first four terms of a sequence. 1/2 4/3 9/4 16/5. find the nth term of this sequence.

Answer:n^2 / (n+1)

Step-by-step explanation:

n=1

1^2 / (1+1) = 1/2

n=2

2^2 / (2+1) = 4/3

n=3

3^2 / (3+1) = 9/4

n^2 / (n + 1)

Step-by-step explanation:

The numerators are the squares of the sequence numbers 1^1 2^2 3^2 ...

The denominators are the sequence numbers + 1, so the nth term is

n^2 / (n + 1).