POWERS OF 2

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!