Question

Describe an algorithm that takes as input a list of integers and produces as output the larger difference obtained by subtracting an integer in the list from the one following it.

Short answer

The algorithm that takes as input a list of integers and produces as output the largest difference obtained by subtracting an integer in the list from the one following it:

$$\begin{gathered} procedurelargestdifference\left(a_1,a_{2,}......,a_n:integers\right) \\ max:=0 \\ fori=1ton-1 \\ max=a_{i+1}-a_i \\ returnmax\left(maxisthelargestdifferencebetweenrespectiveintegers\right) \end{gathered}$$

Step-by-step solution

Devising the steps for writing the required algorithm

We will consider a variable max for the desired output

max will define the largest difference obtained by subtracting an integer in the list from the one following it.

Writing the algorithm

$$\begin{gathered} procedurelargestdifference\left(a_1,a_{2,}......,a_n:integers\right) \\ max:=0 \\ fori=1ton-1 \\ max=a_{i+1}-a_i \\ returnmax\left(maxisthelargestdifferencebetweenrespectiveintegers\right) \end{gathered}$$

Therefore, the required algorithm has be devised for the given conditions.