00:01
Okay, so this is 1 over 3 plus 1 over 9 plus 1 over 27.
00:08
And technically it goes like that.
00:10
Okay, so by checking the ratio test, we'll see that 1 over 3 m plus 1 divided by 1 over 3.
00:28
So 3 over 1n, which is 1 over 3n times 3 times 3 to the n over 1.
00:39
So as you see, it's 1 over 3 less than 1, so it's converging.
00:45
So that means the infinite sum of, this is, by the way, a geometric sequence with r is 1 over 3.
00:55
So then a1 over 1 minus r is the formula a1 is 1 over 3 and 1 minus 1 over 3 and then this leads us to 1 over 3 times 3 over 2 so the sum is actually 1 over 2 although i don't see anything in the in the solution like that i think the answer is c c would give you what you wanted okay okay.
01:21
I think.
01:22
Let me see.
01:25
It's also a little blurry...