Question

Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is:

Answer 1

You are adding consecutive odd numbers to the number before.  Starting with 1, add 3 to get 4.  Add 5 to 4 to get 9.  Add 7 to 9 to get 16, add 9 to 16 to get 25, add 11 to 25 to get 36.  Trying to figure out how to write that as a recursive rule...