Question: Question 2: 1. Show that if a number ends with the digit 1, then all power of this number end with 1 2. Show that

Question 2: 1. Show that if a number ends with the digit 1, then all power of this number end with 1 2. Show that any number that ends in 9 if squared ends at 1. 3. Show that 1001978 34292 is divisible by 10. Question 3: Apply the simple GCD algorithm for 1. a = 112, b = 32 2. a = 114, b = 68 Question 4: For the two a, b in exercise 3, find the x, y so that xa+y.b = ged(a, b) using the generalized ged algorithm. Question 5 Consider the modular equation: 9.x = 15 mod 30. Find all solutions

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