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

= (n + 1)²

Step-by-step 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

= (n + 1)²

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step-by-step explanation: