To find the sixth term of the geometric sequence, we need to use the formula:
an = a1 * r^(n-1)
where:
- an is the nth term of the sequence
- a1 is the first term of the sequence
- r is the common ratio of the sequence
- n is the number of the term we want to find
We are given that a4 = -8, which means that:
a4 = a1 * r^(4-1)
-8 = a1 * r^3
We are also given that r = 0.5. Substituting this value into the equation above, we get:
-8 = a1 * (0.5)^3
-8 = a1 * 0.125
a1 = -64
Now we can use the formula to find the sixth term:
a6 = a1 * r^(6-1)
a6 = -64 * (0.5)^5
a6 = -2
Therefore, the sixth term of the geometric sequence is -2.