[tex]The\:next\:terms\:are:-5,\:and\:2[/tex]
1) Given that we were told that the first three terms of this Sequence. Let's find the common difference:
[tex]\begin{gathered} -26+7=-19 \\ -19+7=-12 \\ d=7 \end{gathered}[/tex]
2) Based on that, we can do the following to find the next two terms:
[tex]\begin{gathered} -26+7=-19 \\ -19+7=-12 \\ -12+7=-5 \\ -5+7=2 \\ \\ -19,-12,-5,2 \\ Or \\ \\ a_4=a_1+d(n-1) \\ a_4=-26+7(4-1) \\ a_4=-26+21 \\ a_4=-5 \\ \\ a_5=-26+7(5-1) \\ a_5=-26+7(4) \\ a_5=-26+28 \\ a_5=2 \end{gathered}[/tex]
Thus, the next terms are -5 and 2
