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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. \[{{n}^{3}}-{{n}^{2}}\] | |