1.

Using mathematical induction, the numbers \[{{a}_{n}}'s\]are defined by \[{{a}_{0}}=1,\,\,{{a}_{n+1}}=3{{n}^{2}}+n+{{a}_{n'}}\] \[(n\ge 0).\]Then, \[{{a}_{n}}\] is equal to

A. \[{{n}^{3}}+{{n}^{2}}+1\]
B. \[{{n}^{3}}-{{n}^{2}}+1\]
C. \[{{n}^{3}}-{{n}^{2}}\]
D. \[{{n}^{3}}+{{n}^{2}}\]
Answer» C. \[{{n}^{3}}-{{n}^{2}}\]


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