[tex]a_{n} = n^{2}+10n+1\\\\a) \ a_1 = 1^{2}+10\cdot1 + 1 = 1+10+1 = 12, \ \ TAK\\\\b) \ TAK\\\\c) \ a_3 = 3^{2}+10\cdot3+1 = 9+30+1 = 40 \neq 49, \ \ NIE[/tex]