a. Complete the chart:
| Number of the doubling | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ... | 63 |
| Wheat on each square | 2 | 4 | 8 | 16 | 32 | 64 | 128 | 256 | 512 | 1024 | 2048 | 4096 | 8192 | ... | 9,223,372,036,854,775,808 |
| Pattern: | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 210 | 211 | 212 | 213 | 263 |
FYI: In total, the king placed 18,446,744,073,709,551,615 grains of wheat on the board. This is more wheat than exists in the entire world. China is the largest producer of wheat, producing approximately 3.8 billion bushels per year. It would take China well over 6000 years to fill the 64 squares on the chess board.
b. Function: 
From Pattern:
