All the King's Horses
Pro Problems > Math > Algebra > Functions > Arithmetic Sequences > SeriesAll the King's Horses
On the first day of his reign, which was a Monday, King Midas received 5 horses. On each successive day, he received 1 more horse than he received the previous day. After a week, he began turning horses to gold. First he turned 20 horses to gold, and then on each successive Monday, after receiving his daily horses, he turned 60 more horses to gold than he did the previous Monday.
How long will it take before all of the king's horses have been turned to gold?
Solution
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