Answer
The 13th term of the geometric sequence is 1,464,843,750
Step-by-step explanation
Given the following sequence
6, - 30, 150
Step 1: find the common ratio
Common ratio = -30/6 = -5
150/-30 = -5
Therefore, common ratio is -5
The nth term of a geometric progression is
A(n) = a*r^n-1
Where a = first term, r = common ratio and n = number of terms
a = 6
r = -5
n = 13
a(13) = 6 * (-5)^13 -1
a(13) = 6 x (-5)^12
a(13) = 6 x (244,140,625)
a(13) = 1,464,843,750
Therefore, the 13th term of the geometric sequence is 1,464,843,750