I believe it's Line y=-x+2 and y=3x+1 intersect the y-axis. From what I've gathered, they are parallel lines, and both are set on the y-axis.
Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.
This is actually easy, because you just have to add up the 25 +15 and that would get you 40. Then you would have to add 20 to the 40 and that would be 60, so that would make 40/60 chance that she wouldn't get blue.
And if you need it in a percentage, then you can just convert this into a percentage which would be, 66.666666666667%, also known as 66.67%
I assume that x = figure no.
It's better to write this as
Tiles = 10n-18
Thus 10(12) - 18
=120 - 18
= 102
THUS HE IS WRONG.