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svetoff [14.1K]
3 years ago
11

Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer:

<em>summation of five times negative three to the power of n from n equals zero to infinity</em>

Step-by-step explanation:

<u>Summation Notation </u>

It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:

5-15+45-135+...

If we take 5 as a common factor, we have

5(1-3+9-27+...)

The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1

The summation is then represented by

\sum_{n=0}^{\infty}5(-3)^n

This corresponds with the option:

<u>summation of five times negative three to the power of n from n equals zero to infinity</u>

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Step-by-step explanation:

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A manufacturer buys large quantities of certain fuel pumps. He finds that his cost depends on the number of cases, q, bought at
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Answer:

The correct option is <u>c) $17.50/case</u>.

Step-by-step explanation:

Note: The data in the question are merged. The data are therefore sorted and the whole question is represented before answering the question. Please, see the attached pdf file for the sorted data and the represented question.

The explanation of the answer is now given as follows:

Marginal cost refers to the cost incurred in order to produce one more unit of a product.

Therefore, marginal cost is the change in the total cost that is caused by a one-unit increase in the quantity of a commodity that is produced.

From the table in the question, the marginal cost at q = 108 can be calculated as follows:

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Change in total cost at 180 cases = Total cost at 108 cases - Total cost immediately before 108 cases = 1990 - 1920 = 70

Marginal cost at 108 cases = Change in total cost at 180 cases / Change in total quantity at 180 cases = 70 / 4 = 17.50 per case

Therefore, the correct option is <u>c) $17.50/case</u>.

Download pdf
4 0
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