Question

Find the nth term of this quadratic sequence 4, 9, 16, 25, 36

Answer 1

well the sequence is the perfect squares

Explanation:

Answer 2

`a_(n)` = (n + 1)²

Explanation:

The sequence of square numbers is

n | 1 2 3 4 5 6

n² | 1 4 9 16 25 36

Given

4 , 9, 16, 25, 36 ← moved 1 place to the right

Thus

4 = (1 + 1)² , 9 = (2 + 1)² , 16 = (3 + 1)² , etc

In general the n th term is

`a_(n)` = (n + 1)²