Write the Word or Phrase That Best Completes Each Statement $2 + 5 + 8 + \ldots + ( 3 n - 1 ) = \frac { n } { 2 } ( 3 n + 1 )$

question 162

Essay

Write the word or phrase that best completes each statement or answers the question.
Use mathematical induction to prove the following statement for all positive integers n.
- $2 + 5 + 8 + \ldots + ( 3 n - 1 ) = \frac { n } { 2 } ( 3 n + 1 )$

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Definitions:

Liquidity

Liquidity refers to the ease with which an asset, or security, can be converted into ready cash without affecting its market price.

Solvent

In a financial context, the state of being able to meet all monetary obligations; having assets in excess of liabilities.

Restricted

Limited in extent, number, scope, or action.

Endowment Principal

The core capital in an endowment, which is invested to generate income while preserving the original amount.