X is a natural number less than 5
2 answers:
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Observe that as the series progresses, the term decreases by 1/4. To show this, observe the first four terms of the series below.
-200 = (1/4)(-800)
-50 = (1/4)(-200)
-12.5 = (1/4)(-50)
Since we have a common ratio, r, of 1/4, we can use the properties of a geometric series to find the 8th term of the series.
Recall that to find the sum of the nth term of a geometric series, we have
where a is the first term of the series and r is the ratio.
So, for the first eight terms, we have
Therefore, the sum of the 8th series is approximately -1066.65.
Answer: -1066.65
-200 = (1/4)(-800)
-50 = (1/4)(-200)
-12.5 = (1/4)(-50)
Since we have a common ratio, r, of 1/4, we can use the properties of a geometric series to find the 8th term of the series.
Recall that to find the sum of the nth term of a geometric series, we have
where a is the first term of the series and r is the ratio.
So, for the first eight terms, we have
Therefore, the sum of the 8th series is approximately -1066.65.
Answer: -1066.65
Answer:
The length of the office is 36.4 ft
Step-by-step explanation:
The length of the classroom = 20 ft long
The length of the office = 20 ft + 82% of the classroom length
Now, 82 % of classroom length = 82 % of 20 ft
⇒
or, 82% of 20 ft = 16.4 ft
⇒The length of the office = 20 ft + 16.4 ft = 36.4 ft
Hence, the length of the office = 36.4 ft