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
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Answer:
5.3
Step-by-step explanation:
r = (3V/4pi)^1/3
Sum of interior angle of polygon: S = (n-2) * 180°,
where n is number of sides and where S is total degrees.
With 6 sides, n = (6-2)*180 = 720°
Then set all of the interior equations equal to the sum, or
720 = 5x + 4x+2 + 5x+6 + 2x-2 + 3x+5 + x-10
720 = 20x + 1
719 = 20x
x =
= 35.95
I believe that the answer would be D but I’m not an expert soooooo
Answer: The ratio of yellow card to red card is 4:7.
Step-by-step explanation:
We can describe the rate of A to B as A:B.
Given: Lucy has a game that uses yellow cards and red cards the ratio of yellow card to red card is 4 to 7.
Then, the statement is another way to describe this ratio would be 4:7.
Required statement: The ratio of yellow card to red card is 4:7.