Number Theory

Page 8 of 18 Click to Launch Directions: Please make your contributions to this discussion by 11:59 p.m. on 4/30/21. Completely respond to all three parts of this discussion forum. The following is the set of Multiples of 2 in Base 5. {25, 45, 115, 135, 20s, 225, 24s, 315, 335, ...l 1.) Give the next five Multiples of 2 in Base 5 and explain how you came up with them. 2.) Look for a pattern in the set of Multiples of 2 in Base 5 and devise a divisibility test for 2 in Base 5. That is, what makes a Base 5 number divisible byo in Base 5? Note: to be divisible by 2, we know the quantity represented by the numeral can be broken into 2 equal size groups. Here, I am looking for you to come up with a way to predict just by looking at the Base 5 numeral whether or not it will be divisible by 2. 3.) Regardless of how confident you feel about your divisibility test from number 2 above, describe what you have learned from exploring this @ Mark Reviewed