The nth term is n2.
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So you're adding 3, 5, 7, 9, 11 etc 1, 4, 9, 16, 25, 36, 49
consecutive square numbers
1, 4, 9, 16, ......., (n squared),
16 + 9 + 4 + 1
the next number in the sequence is 25............starting at the beginning, you add the odd numbers to the existing number to get the answer. Add "1" to 0, get 1; add "3" to 1, get 4; add "5" to 4, get 9; add "7" to 9 to get 16........and add "9" to 16 to get 25.........