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Consider the Following Program Segment Invariant

question 25

Short Answer

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

[H+]

The concentration of hydrogen ions in a solution, indicating its acidity or basicity.

[H+]

[H+] represents the concentration of hydrogen ions in solution, commonly associated with acidity.

pH

A scale used to specify the acidity or basicity of an aqueous solution, ranging from 0 to 14.

[HCO3-]

[HCO3-] is the chemical notation for the bicarbonate ion, a key intermediate in the carbon dioxide transport and pH balance mechanisms in living organisms.

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