If each generation doubles in size how many are there at:
1 st = 1 2 nd = 2 3 rd = 4 4 th = 8 5 th = 16 6 th = 32 7 th = 64 8 th = 128 9 th = 256 10 th = 512 |
11 th = 1,024 12 th = 2,048 13 th = 4,096 14 th = 8,192 15 th = 16,384 16 th = 32,768 17 th = 65,536 18 th = 131,072 19 th = 262,144 20 th = 524,288 |
21 st = 1,048,576 22 nd = 2,097,152 23 rd = 4,194,304 24 th = 8,388,608 25 th = 16,777,216 26 th = 33,554,432 27 th = 67,108,864 28 th = 134,217,728 29 th = 268,435,456 30 th = 536,870,912 |
31 th = 1,073,741,824
32 th = 2,147,483,648 [about the world population in 1940]
AND WE ARE ONLY HALF WAY THROUGH THE CHESS BOARD!