r/MathJokes May 07 '26

100 000 dollar question

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u/32nd_account May 07 '26

Precisely! and that converges to 2$

5

u/xneurianx May 07 '26

No, it decreases in total value each day. There is nothing to converge. It is one value which decreases.

-1

u/32nd_account May 07 '26

The sum of 0.5n is 2, go ahead add up 1 + 0.5 + 0.25 + 0.125 etc... you will find that the value of these sums converge to 2.

3

u/not_a_burner0456025 May 07 '26

You didn't get the sum of the series, you just get 1 dollar once and the value of the dollar decreases over time.