00:01
We're being asked to write out the sum for the given sequence defined by the formula 1 over 3 to the k plus 1 power from when k is equal to 0 to when k is equal to n minus 1.
00:12
So first we're going to find the first couple turns in this sequence.
00:15
So to find the first term in the sequence, we're going to substitute 0 in place of k.
00:19
So we have 1 over 3 to the 0 plus 1 power, which is just 1.
00:24
Well, 3 to the 1st is equal to 3, so the first term in this sequence is 1 3.
00:30
Now, to find the second term in this sequence, we're going to substitute 1 in place of k.
00:34
So we'll have 1 over 3 raised to the 1 plus 1 power, but 1 plus 1 is 2.
00:39
So we'll have 1 over 3 squared, which is equal to 1 9th.
00:43
So that's our second term...