Write the Sum Using Sigma Notation $k = 1$ $\frac { 1 } { 1 ^ { 3 } } + \frac { 1 } { 2 ^ { 3 } } + \frac { 1 } { 3 ^ { 3 } } + \frac { 1 } { 4 ^ { 3 } } + \ldots + \frac { 1 } { 16 ^ { 3 } }$

question 77

Multiple Choice

Write the sum using sigma notation. Begin with $k = 1$ . $\frac { 1 } { 1 ^ { 3 } } + \frac { 1 } { 2 ^ { 3 } } + \frac { 1 } { 3 ^ { 3 } } + \frac { 1 } { 4 ^ { 3 } } + \ldots + \frac { 1 } { 16 ^ { 3 } }$

• A) \(\sum _ { k = 1 } ^ { 15 } \frac { 1 } { k ^ { 3 } }\)
• B) \(\sum _ { k = 1 } ^ { 15 } \frac { 1 } { ( k - 1 ) ^ { 3 } }\)
• C) \(\sum _ { k = 1 } ^ { 16 } \frac { 1 } { ( k - 1 ) ^ { 3 } }\)
• D) \(\sum _ { k = 1 } ^ { 16 } \frac { 1 } { ( k + 1 ) ^ { 3 } }\)
• E) \(\sum _ { k = 1 } ^ { 16 } \frac { 1 } { k ^ { 3 } }\)

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Definitions:

Capital Accounts

Capital accounts track the equity or ownership interests of the shareholders or partners in a company, including their contributions and withdrawals.

Losses On Realization

Financial deficits incurred when assets are sold for a price lower than their book value during the liquidation of a business or in settling debts.

Cash Distribution

The payment of proceeds or earnings to shareholders or partners in a business, often from dividends or the liquidation of assets.

Liquidation

The process of converting assets into cash or cash equivalents by selling them, often used to pay off debts.