00:01
Okay, so let's find the sum of this infinite series.
00:06
Okay, so first, okay, it's, it uses a summation notation or sigma notation to represent the sum of first in terms of a sequence, okay? so here, i can rewrite this as in this form, okay? and i expand this, so i have two times one over ten times.
00:38
10 to the i's power, uh, 1 over 10 to second power plus 1 over 10 to third power, plus 1 over 10 to force power, dot, dot, plus 1 over 10 to the infinity's power, okay? okay, so let's use dot dot dot dot to represent this.
01:10
Okay, so here i have two times 1 over 10 is 0 .1 and 1 over 10 square is 0 .01 plus 0 .001 plus 0 .001.
01:30
So which is 1 times 0 .1111 .1.
01:37
Okay...