Answer:
33
Step-by-step explanation:
The nth term of a geometric sequence is expressed as;
Sn = a(r^n - 1)/r - 1
a is the first term of the sequence
r is the common ratio
n is the number of terms
From the sequence;
a = 3
r = -6/3 = 12/-6 = -2
n = 5 (since are looking for the sum of first five terms)
Substitute into the formula;
S5 = 3((-2)^5 - 1)/-2 - 1
S5 = 3(-32-1)/-3
S5 = 3(-33)/-3
S5 = -(-33)
S5 = 33
Hence the sum of the first five terms of the sequence is 33
