Question

Device an algorithm that finds the sum of all the integers in a list.

Short answer

The algorithm that finds the sum of all the integers in a list:

$$\begin{gathered} Proceduresum(a_1,a_2,....,a_3:realnumberswithn\ge 1) \\ sum:=0 \\ fori=1ton \\ sum:=sum+a_i \\ returnsum \end{gathered}$$

Step-by-step solution

Devising steps to form an algorithm

$proceduresum\left(a_1,a_2,.....,a_3:realnumberswithn\ge 1\right)$

We initially define the sum as 0.

$sum:=0$

For every integer between 1 and n we add the integer ai from the given list to the sum.

$$\begin{gathered} fori=1ton \\ sum:=sum+a_i \end{gathered}$$

Finally, we return the sum of all elements of the list.

return sum

Combining all the steps for writing an algorithm:

$$\begin{gathered} Proceduresum(a_1,a_2,....,a_3:realnumberswithn\ge 1) \\ sum:=0 \\ fori=1ton \\ sum:=sum+a_i \\ returnsum \end{gathered}$$

Therefore, the algorithm for finding the sum of all the integers in a list is devised.