[tex]a_1=9.4\\a_2=9.4+1.2=10.6\\a_3=10.6+1.2=11.8\\a_4=11.8+1.2=13\\\vdots\\\\\text{The general term of arithmetic sequence}\ a_n=a_1+(n-1)d\\\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ a_1=9.4\ \text{and}\ d=1.2.\ \text{Substitute:}\\\\a_n=9.4+(n-1)(1.2)\\\\\text{use distributive property}\\\\a_n=9.4+(n)(1.2)+(-1)(1.2)\\\\a_n=9.4+1.2n-1.2\\\\a_n=1.2n+8.2\\\\33rd\ term\to a_{33}\\\\\text{Put}\ n=33\ \text{to the equation of}\ a_n:\\\\a_{33}=1.2(33)+8.2=39.6+8.2=47.8\\\\Answer:\ 33rd\ term=47.8[/tex]
