-1, -4, -7, -10....
The nth term of an arithmetic sequence is given by the formula:
[tex]a_n=a_1+(n-1)\cdot r[/tex]
We can check that the first term, a1, is -1 and the rate of change, r is -3, therefore, we have:
[tex]\begin{gathered} a_n=-1+(n-1)\cdot(-3) \\ a_n=-3n+2 \\ a_{24}=-3\cdot24+2=-70 \end{gathered}[/tex]
