If the sun went bang, and we we're still alive long enough to worry about that, wouldn't we have the tech to just colonize outside the solar system? And scan systems for life, and the progress of their stars, the precise type of star, and such? So far, the gradual development of humans has been slow and then faster as soon as humans discovered one or a few certain things that started to easily result in just that, more development. So, at the start of the Industrial Age, and easier to name, the 19th Century, its easy to say that the things Mankind has discovered has been at a much faster rate then say, 2000, or 3000 years ago. Predictions state that either:
Man will soon, through the process of this development being ongoing, we learn the complexities of the universe within the next several thousand years, if that is the go through in Intelligent life. Or at least as much as we can unless something indirectly would need to happen for us to learn some hidden part of information. The secret of the universe perhaps.
This meaning, we would have either developed a Utopia-like galactic community where distance isn't mere time, but want. Should I pay tribute to Mother Earth on a little trip on my way to the edge of the galaxy? Sure! Why not! It'll only take a few minutes!
Or, should the former not be the case, and the prediction turns out to be true, mankind is a candle, steadily burning its fuse, and once reaching toward the end of its stick, burning faster and faster until finally...burning itself out.
Or we could be hit by a Gamma Ray or giant meteor. Or be attacked by a vastly powerful alien empire and get our planet blown up without even knowing we we're being targeted.
You decide.