Consider the Following Program Segment Invariant

question 25

Short Answer

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

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Definitions:

Drug Abstinence Management

Strategies and approaches aimed at supporting individuals in avoiding the use of substances they are addicted to or dependent on.

Motivation Enhancement

A therapeutic technique designed to increase an individual's motivation to change behavior by exploring and resolving ambivalence.

Functional Analysis

A behavioral assessment technique that seeks to understand the causes and consequences of specific behaviors.

Antecedents

Factors or conditions in a person's background or environment that precede and contribute to their patterns of behavior.