Zeno's Paradox (Geom Series)

Infinitely many halves still add up to exactly 1.

1/2 + 1/4 + 1/8 + ... to infinity = 1

Walk half the way to the wall: half the distance is behind you, half ahead.

Each step halves what is LEFT. After four steps, only one sixteenth remains.

The gap is always 1/2ⁿ, and no number is smaller than every one of those.

Your turn

Three to try in your head — tap what you get.

Sum 1/2^k from k=1 to 5

Sum 1/2^k from k=1 to 4

Sum 1/2^k from k=1 to 6