Express the Sum Using Summation Notation A) $\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 7 ^ { 2 + k } }$

question 11

Multiple Choice

Express the sum using summation notation.
- $\frac { 5 ^ { 14 } } { 7 ^ { 3 } } + \frac { 5 ^ { 13 } } { 7 ^ { 4 } } + \frac { 5 ^ { 12 } } { 7 ^ { 5 } } + \ldots + \frac { 5 ^ { 7 } } { 7 ^ { 10 } }$

• A) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 7 ^ { 2 + k } }\)
• B) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { - k } } { 7 ^ { 2 + k } }\)
• C) \(\sum _ { k = 1 } ^ { 4 } \frac { 5 ^ { 15 + k } } { 7 ^ { 2 + k } }\)
• D) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 7 ^ { k } }\)

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Definitions:

Current Liabilities

Financial obligations that are due within one year or within the normal business cycle.

Working Capital

The difference between a company's current assets and current liabilities, representing its ability to pay off short-term obligations.

Debt-to-Equity Ratio

A measurement indicating the relative proportions of a company's total liabilities to shareholders' equity.

Total Liabilities

The combined amount of all financial obligations a company owes to outside parties, including loans, accounts payable, mortgages, and other debts.