Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary.
75, comma, 91, point, 5, comma, 111, point, 6, 3, comma, point, point, .
75,91.5,111.63,

The given sequence appears to follow a pattern, and it looks like an arithmetic sequence. The terms given are:

- \( a_1 = 75 \)
- \( a_2 = 91.5 \)
- \( a_3 = 111.63 \)

To verify if this is an arithmetic sequence, we need to check if the difference between consecutive terms is constant:

1. Difference between \( a_2 \) and \( a_1 \): 
   \[
   d = 91.5 - 75 = 16.5
   \]

2. Difference between \( a_3 \) and \( a_2 \): 
   \[
   d = 111.63 - 91.5 = 20.13
   \]

Since the differences are not the same, this isn't an arithmetic sequence. This suggests that the sequence may follow a different rule.

It is possible that the sequence follows some other pattern, but to find the sum of the first 8 terms, I'll need more information on how the sequence progresses beyond the third term.

Could you provide more terms or specify the type of sequence?

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 75, 91.5, 111.63, ...

Learn how to find the sum of the first 8 terms in a given sequence starting with 75, 91.5, and 111.63. This problem covers sequence patterns and the sum of an arithmetic sequence, ideal for students in Grades 9-11.

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