Coupled with the rate at which the price of bitcoin has been increasing lately. I'd like to know how long it would take bitcoin to reach $25k since it took it just a year to rise from $1k to $10k(which was pretty cool and fast) but I doubt if it can rise as fast as that again
You know the volatility level of Bitcoin, right? And also you know, that Bitcoin can be hardly influenced by some news. Of course there is also a "whales" influence (big market makers). So to predict the time-frame for reaching $25k is too hard.
Whales really cannot have much influence on the market right now and they are careful too as well. The market cap is increasing hugely daily and that means a lot. Sure, we cannot predict the time frame at which bitcoin can reach such a value, and there are so many factors that can cause some bearish trend, but we also have to realize that with this pace, anything can be possible.
The truth is no one can know what the time frame to reach $25000 would be. May be early next year, mid, or even later on. There are so many things that can happen which could drive the value backwards and then anything can happen that can even make it skyrocket at a pace higher than it has already been giving so far. In the latter case though, in the first quarter of 2018, that value is something to be expected.