Here is the correct way to play house of the rising sun.
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Everyone knows this picking pattern right?
| Am | C | D | F |
| Am | C | E | E |
| Am | C | D | F |
| Am | E | Am | E |
And this plays through the whole song.
Source: https://tabs.ultimate-guitar.com/tab/alan_price/the_house_of_the_rising_sun_chords_1230977