ANSWER[tex]a_{n}=a_{n-1} - 11 \: \: ,a_1 = - 3[/tex]EXPLANATIONThe given sequence is [tex]-3,-14,-25,-36,...[/tex]The first term of the sequence is [tex]a_1=-3[/tex]The common difference is [tex]d = - 14 - - 3[/tex][tex]d = - 11[/tex]The recursive formula is[tex]a_{n}=a_{n-1} - 11 \: \: ,a_1 = - 3[/tex]