The term 'DID SOME ARITHMETIC' can be broken down into two parts: 'DID' and 'SOME ARITHMETIC'. The solution for the first part is 'ADDED', which means to combine two or more numbers together to get a total. This is a basic ARITHMETIC operation that is used in many different areas of mathematics, such as algebra, calculus, and geometry. The second part of the term, 'SOME ARITHMETIC', implies that the person DID more than just adding, but rather performed multiple operations on the numbers. This could include subtracting, multiplying, dividing, and other operations. Therefore, the complete term 'DID SOME ARITHMETIC' can be summarized as 'performed multiple ARITHMETIC operations on numbers'.