1) An indoor staircase has a 12 inch vertical rise per step to get to the second floor of the house. If the angle of elevation i
s 41 degrees and there are 15 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
1 answer:
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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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