Answer:
The sum of the first 8 terms of the geometric sequence is 0.3333333299999999.
Explanation:
To calculate the sum of the first 8 terms of a geometric sequence, we can use the following formula:
Sum = a(1 - r^n) / (1 - r)
where:
a is the first term of the sequence
r is the common ratio
n is the number of terms
In this case, a = 0.3, r = 1/10, and n = 8.
Sum = 0.3(1 - (1/10)^8) / (1 - 1/10)
Sum = 0.3333333299999999
Therefore, the sum of the first 8 terms of the geometric sequence is 0.3333333299999999.
I hope this helps!