UPC Check Digit  
Problem DescriptionThe most common form of Universal Product Code (UPC) is UPCA which has 12 digits arranged to make a unique number. The twelfth digit is a check digit calculated based on the values in digits one through eleven. Calculate a UPCA check digit given the eleven digits. Detail Requirements


Number Sequences  
Problem DescriptionA numeric sequence is a series of numbers in which the relation of a number to the one that follows it is the same. For example, 1, 2, 3, 4 and 3, 6, 12, 24 are both sequences. In the first sequence each number is one less than the one that follows it. In the second sequence, each number is onehalf the one that follows it. Two types of numerical sequences are arithmetic and geometric. The first sequence is arithmetic because each number differs from its predecessor by the same value  in this case 1. The second sequence is geometric because each number differs from its predecessor by the same multiplication factor  in this case 2. The term for a sequence is the value at any given location. Given the sequence 3, 6, 12, 24, the first term is 3, the third term is 12, and the fifth term would be 48. Determine whether a list of numbers is a sequence (arithmetic or geometric) and the type. Determine the value of the Nth term if the list is a sequence. Detail Requirements


Diminishing Area  
Problem DescriptionA series of right triangles can be inscribed (nested) within each other as shown in the figure below. The original right triangle has three smaller triangles nested inside. The area of each nested triangle obviously decreases as it gets smaller. The goal is to determine the area of the right triangle nested at a specific level. The area of a right triangle is ½ (base * height). The height for a right triangle is the line perpendicular to the base. In the outer triangle above, the base is b and the height is a. The sides of each nested triangle are ½ the length of its parent triangle. For example, if a = 30, b = 40, and c = 50 then the equivalent sides for the first nested triangle are 15, 20, and 25 respectively. You are given a set of three (x,y) coordinates for an outer triangle. You are also given the number of nested triangles. Use this information to determine the area of the triangle at that level. A Cartesian coordinate system is used as displayed below. The 3 (x,y) coordinates for the given right triangle are (7,5), (7,5), and (5,5).


Foreign Language  
Problem DescriptionDerwin is trying to convince his teacher that Pig Latin is an appropriate foreign language. He says he speaks and writes Pig Latin fluently. He also informs his professor that none other than Thomas Jefferson used to write his friends in Pig Latin. Derwin’s professor, always a good sport, plans to translate all Derwin’s assignments for the rest of the semester into Pig Latin but needs help. You will help by writing an English to Pig Latin translation program. Detail Requirements
Test DataInput 1 Output 1 Input 2 Output 2 
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