I believe that the answer would be:
g(x) = 12x + 17
It's for sure reflection symmetry, I think it's also point reflection (the point must be in the very middle of the figure). I hope it will help you somehow :)
The terms in the sum are given by the sequence

We have

for all
, and the series
clearly diverges, so
must also diverge.
A box or square is drawn on the right angle triangle to show that it is a right triangle
Hey Ender, I'm pretty sure you got some text things wrong, or just copied and pasted something, because what you wrote there makes 0 sense :)