The sum of the first 8 terms is 2.51 to the nearest hundredth
Step-by-step explanation:
In the geometric sequence there is a constant ratio between each two consecutive terms
The formula of the sum of n terms of a geometric sequence is:
, where
- a is the first term
- r is the constant ratio between the consecutive terms
∵ The sequence is 6 , -5 , 25/6 , .............
∵ -5 ÷ 6 = 
∵
÷ -5 = 
- There is a constant ratio between the consecutive terms
∴ The sequence is a geometric sequence
∵ The first term is 6
∴ a = 6
∵ The constant ratio is 
∴ r = 
∵ We need to find the sum of 8 terms
∴ n = 8
- Substitute the values of a, r and n in the rule above
∴
∴ 
- Round it to the nearest hundredth
∴ 
The sum of the first 8 terms is 2.51 to the nearest hundredth
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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Child, write your questions in a way people can understand, so they can get answered.
Integers are whole numbers that can be negative or positive. Irrational numbers are numbers with repeating ends while natural numbers are positive whole numbers only. rational numbers are fractions. hence the answer to this problem is D.
B because 12 cups divided in to 5 bowls is 2.4 cups in each bowl and a third of that is .8 or 8/10 or 4/5