00:01
All right, so in this question, if i understand the question correctly, because the formatting is a bit unclear, we're given the sequence bn, which is defined as c times 4n plus d times minus 3n, where c and d are some real parameters.
00:25
And the first question is find c and d in such a way that b of 0 is 0 and b of 1 is 7.
00:37
So there's no unique solution as we will see for this.
00:41
So let's just write the system b of 0 is equal to 0.
00:47
B of 1 equals to 7.
00:48
So let's see what we can obtain.
00:51
B of 0, we take n equals 0, so we get 0 plus 0.
00:55
So 0 equals 0 always satisfied, but b of 1 equals 7, we obtain 4c minus 3d equals of 7, right? so from here we need, we know that the solution is not unique, but we can take, for example, c equals 1 and d equals minus 1.
01:13
This is the most obvious solution from this problem...
