274
THE SPIRIT OF THE AGE.
"This will seem surprising to those who are unacquainted with the increasing power of progressive numbers; but is palpably evident from the following table of a geometrical progression, in which the first term is 2, and the denominator also 2; or, to speak more intelligibly, it is evident, for that each of us has two ancestors in the first degree; the number of which is doubled at every remove, because each of our ancestors had also two ancestors of his own.
Lineal Degrees. | Number of Ancestors. | |||||
1 | .. | .. | .. | 2 | ||
2 | .. | .. | .. | 4 | ||
3 | .. | .. | .. | 8 | ||
4 | .. | .. | .. | 16 | ||
5 | .. | .. | .. | 32 | ||
6 | .. | .. | .. | 64 | ||
7 | .. | .. | .. | 128 | ||
8 | .. | .. | .. | 256 | ||
9 | .. | .. | .. | 512 | ||
10 | .. | .. | .. | 1,024 | ||
11 | .. | .. | .. | 2,048 | ||
12 | .. | .. | .. | 4,096 | ||
13 | .. | .. | .. | 8,192 | ||
14 | .. | .. | .. | 16,384 | ||
15 | .. | .. | .. | 32,768 | ||
16 | .. | .. | .. | 65,536 | ||
17 | .. | .. | .. | 131,072 | ||
18 | .. | .. | .. | 262,144 | ||
19 | .. | .. | .. | 524,288 | ||
20 | .. | .. | .. | 1,048,576 |