One coin, or a thousand a day?
Offer A: 1000 coins every day for 30 days. Offer B: 1 coin today, 2 tomorrow, 4 the day after — doubling every day for 30 days.
How much does the doubling offer pay out in total?
Where these numbers come from
Every number here is arithmetic, not a fact about the world: 1 + 2 + 4 + … + 2^29 = 2^30 − 1 = 1 073 741 823, and 30 × 1000 = 30 000.
Geometric series — Wolfram MathWorld(checked 2026-09-26)