The sum of the series up to the 12 terms will be 40.5.
<h3>What is the sum of a geometric sequence?</h3>
Let a₁ be the first term, n be the total number term, and r be a common ratio.
Then the sum of the geometric sequence will be
Sₙ = [a₁ (1 - rⁿ)] / (1 - r)
The series is given below.
27 + 9 + 3 + 1 + ... + 1/6561
The first term is 27 and the common ratio is 1/3.
The number of the term will be
1/6561 = 27 · (1/3)ⁿ⁻¹
1/177147 = (1/3)ⁿ⁻¹
(1/3)¹¹ = (1/3)ⁿ⁻¹
11 = n - 1
n = 12
Then the sum of the series will be
Simplify the equation, then we have
S₁₂ = 27 x 0.9999 / 0.6666
S₁₂ = 27 x 1.5
S₁₂ = 40.5
The sum of the series up to the 12 terms will be 40.5.
More about the sum of arithmetic sequence link is given below.
brainly.com/question/25749583
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Answer:
Idek
Step-by-step explanation:
ask someone or like wait for someone to Answer.Pacific them or
Answer:
312 people
Step-by-step explanation:
Hello!
<u>Step 1:</u>
First, we want to calculate what percentage of the random sample voted pretzels. To do that, we divide the number of pretzel voters depending on the total number of voters.
Calculate:
- Pretzel voters ÷ Total voters
- 27 ÷ (78 + 27 + 55 + 65)
- 27 ÷ 225
- 0.12
- 12%
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<u>So, approximately 12% of the sample voted on pretzels.</u>
<u>Step 2:</u>
Now that we know the average percentage of people that want pretzels, we can find the same percentage of the actual population of 2600 people.
We need to solve for 12% of 2600
Calculate:
- 12% of 2600
- 0.12 * 2600
- 312
<u>Based on our percentages, we predict that 312 people favor pretzels.</u>
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<span>12.3595505618 including the remainder :), estimated at 12.4</span>