25. Find out something about a paradox of Zeno different from the paradox mentioned in this lesson. The Greek philosopher Zeno of Elea lived around 450 B.C.E. and is Mental Math famous for his paradoxes. One of them involves a runner who is trying to go from point A to point B. Zeno reasoned that the runner would first Evaluate 5k + k2 when have to go half the distance, then half the remaining distance (one- k = 1, 2, 3, and 4. fourth), then half the remaining distance (one-eighth), and so on. Zeno observed that, for the runner to reach point B, the total distance covered would have to equal the sum of an infinite collection of positive numbers: 248 + .... A B Zeno argued that such an infinite sum could not equal a finite number and therefore the runner could never reach point B. This argument is called a paradox, one of Zeno's paradoxes, because obviously runners do get from point A to point B. It is possible for sums of an infinite collection of positive numbers such as the sequence in Zeno's paradox to be a finite number. To explain how, it helps to be able to describe sums more precisely by using summation notation