Final answer:
To find the sum of the first 8 terms of the given arithmetic sequence, we use the formula for the sum of an arithmetic sequence. Plugging in the values, we find that the sum is -39.00.
Step-by-step explanation:
The given sequence starts with 6 and has a common difference of -11/6. To find the sum of the first 8 terms, we can use the formula for the sum of an arithmetic sequence:
S = (n/2)(2a + (n-1)d)
where S is the sum, n is the number of terms, a is the first term, and d is the common difference.
Plugging in the values into the formula, we get:
S = (8/2)(2(6) + (8-1)(-11/6))
Simplifying the expression, we find that the sum of the first 8 terms is -39. Rounded to the nearest hundredth, the sum is -39.00.