2019 AMC 10C Problems/Problem 21
Problem
Jack eats candy while abiding to the following rule: On Day , he eats exactly pieces of candy if is odd and exactly pieces of candy if is even. Let be the number of candies Jack has eaten after Day 2019. Find the last two digits of .
Solution
By using formulas as well as treating as , we get the value is which is congruent to which is answer choice .