Given for question 2:
[tex]a=-7,r=-4[/tex]
The general form of the geometric sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
substitute with the given values of a and r:
[tex]a_n=(-7)\cdot(-4)^{n-1}[/tex]
To find the fourth term, substitute with n = 4
so, the fourth term will be:
[tex]\begin{gathered} a_4=(-7)\cdot(-4)^{4-1} \\ a_4=(-7)\cdot(-4)^3 \\ a_4=-7\cdot(-64) \\ a_4=448 \end{gathered}[/tex]
so, the answer will be the fourth term = 448
