The total number of letters written by Yuan can be shown as the algebraic expression is 16n letters.
An algebraic expression is a combination of terms separated by mathematical operations like addition (plus: +), subtraction (minus: -), multiplication (product: *), and divide (by: /).
Terms are combinations of variables and numeric values.
In the question, we are given that Yuan wrote 16 letters to friends each month for n months in a row.
We are asked to write an algebraic expression to show how many total letters Yuan wrote.
The number of letters written by Yuan each month = 16 letters.
The number of months for which Yuan wrote letters to his friend = n months.
The total number of letters will be the product of the two.
Thus, the total number of letters written by Yuan can be shown as the algebraic expression 16 * n letters = 16n letters.
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