00:01
So they want us to determine if this sum converges to anything, or just if it exists.
00:10
Well, let's first go ahead and rewrite this in the sigma notation, because it'll at least help us look at it a little bit easier, or at least i think it will make me help, or it'll help me look at it a little bit easier.
00:22
Well, if we think about it, it's like that's to the first power, and then we really have a 1 .05 here to the 0th power, so this is going to be equal to the sum from n is equal to 0 to an infinity, and then it just keeps indexing for the power of 1 .05, and the 1 ,000 is always there.
00:46
So it would be 1 ,000 times 1 .05 raised to the other.
00:49
Now, for a geometric series to converge, this thing here, so to converge, so to converge, this r's absolute value needs to be less than 1...