Use the Summation Properties to Evaluate the Series - $$\sum _ { i = 1 } ^ { 6 } \left( 1 - 2 i ^ { 3 } \right)$$

question 22

Multiple Choice

Use the summation properties to evaluate the series. The following rules may be needed: $$\begin{array} { l l l } \mathrm { n } & \mathrm { n } & \mathrm { n } \\\sum \mathrm { i } = \frac { \mathrm { n } ( \mathrm { n } + 1 ) } { 2 } ; & \sum \mathrm { i } ^ { 2 } = \frac { \mathrm { n } ( \mathrm { n } + 1 ) ( 2 \mathrm { n } + 1 ) } { 6 } ; & \sum \mathrm { i } ^ { 3 } = \frac { \mathrm { n } ^ { 2 } ( \mathrm { n } + 1 ) ^ { 2 } } { 4 } \\\mathrm { i } = 1 & \mathrm { i } = 1 & \mathrm { i } = 1\end{array}$$
- $$\sum _ { i = 1 } ^ { 6 } \left( 1 - 2 i ^ { 3 } \right)$$

• A) 429
• B) \(- 441\)
• C) 1770
• D) \(- 876\)

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Definitions:

Intercompany Gain

Profit derived from transactions between subsidiaries or divisions of the same company.

Consolidated Income Statement

Consolidated Income Statement is a financial statement that aggregates the financial performance of a company and its subsidiaries, presenting the overall income, expenses, and net income.

Gain on Sale

Gain on Sale is the financial profit made from selling an asset for more than its purchase price or book value, excluding the costs associated with the sale.

Consolidated Income Statement

A financial statement that summarizes the financial performance of an entire group of companies, including all subsidiaries, for a given period.