Page:The Spirit of the Age.djvu/282

"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