00:01
We're being asked to find a value of x so that 2x, 3x plus 2, and 5x plus 3 are consecutive turns in the arithmetic sequence.
00:08
Well, if these are consecutive terms, that means when i subtract my second term minus my first term, i get my common difference.
00:17
And when i subtract my third term minus my second term, i should also get my common difference.
00:23
So let's see what we get.
00:24
Well, a sub 2 is 3x plus 2, and i'm subtracting a sub 1, which is 2x.
00:31
Well, 3x minus 2x is x, so i find that x plus 2 is equal to d.
00:36
So let's do the same thing for our second equation.
00:39
Well, a sub 3 is 5x plus 3, minus a sub 2, which is 3x plus 2, and again, this should equal to d...