Answer:
Step-by-step explanation:
The formula for a geometric sequence is
[tex]a_n=a_1*r^{n-1}[/tex] where n is the position in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us, a1 = -2 and r = 3, n = the 4th term:
[tex]a_4=-2*3^{4-1}[/tex] and
[tex]a_4=-2*3^3[/tex] and
[tex]a_4=-2*27[/tex] so
[tex]a_4=-54[/tex]
The 4th term in the geometric sequence is -54.
