Consider the Following Program Segment: Let P Be the Proposition $" \text { total } = \frac { i ( i + 1 ) } { 2 } \text { and } i \leq n . "$

question 26

Essay

Consider the following program segment: Let p be the proposition $" \text { total } = \frac { i ( i + 1 ) } { 2 } \text { and } i \leq n . "$ Use mathematical induction to prove that p is a loop invariant.

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Definitions:

Cash Flows

Cash flows refer to the net amount of cash and cash-equivalents being transferred into and out of a business, indicating its financial health.

Partnership Income

The share of earnings distributed to partners in a partnership business, typically based on the terms of the partnership agreement.

Personal Income

Personal income is the total earnings received by an individual, including wages, investments, and benefits, used to evaluate financial health.

Capital Expenditure

Resources utilized by an organization for the purpose of purchasing, improving, and preserving tangible assets like land, factories, or machinery.