00:01
In this problem, we have been asked to find the sequence of partial sums, and the series we have been given is 3 minus 9 by 2, plus 27 by 4, minus 81 by 8, plus 243 divided by 16, and so on.
00:21
So we need to find the sequence of partial sums, and the first partial sum we need to find is s1.
00:29
So the first partial sum will just be the first term.
00:33
So that is going to be 3.
00:34
So s1 is 3.
00:36
Next, let us consider s2.
00:38
That will be the sum of the first two terms.
00:40
So that's 3 minus 9 by 2.
00:43
So we have 3 minus 9 by 2 and that is equal to negative 3 by 2.
00:49
Next we need to find s3.
00:51
That is the sum of the first 3 terms.
00:53
So this is what we end up with...