The given sequence is
[tex]-3,27,57,87,117[/tex]Let us find the difference between each 2 consecutive terms
[tex]\begin{gathered} 27-(-3)=27+3=30 \\ 57-27=30 \\ 87-57=30 \\ 117-87=30 \end{gathered}[/tex]Since the difference is constant, then
The sequence is arithmetic with a common difference of 30
Then to find the next term we will add 30 to 117
[tex]117+30=147[/tex]The next term is 147
