Preamble
Before I answer this, I want to make it clear that modifiers like STAB, Technician, items and others do not directly affect the move's base power and are instead applied to the actual damage formula. This doesn't actually doesn't make a huge difference to the amount of damage the move will do (about 1 or 2 HP difference due to rounding), but if you want to be absolutely correct, it's something you should keep in mind.
For simplicity's sake, I will still multiply the base power as this still provides a good comparative measure for how strong the move will be, but note that this is not a way to exactly dictate how much damage the move will do in an applied scenario. You'd have to manually add all the variables into the formula above if you want this.
I'll also verify right now the Technician does not work according to the base power listed by the game, but instead by the base power of the move when it is actually used -- this means that Technician will only apply to Fury Cutter on its first use when it has 40 base power; on any consecutive use, its base power will be above 60 by default and Technician will not affect the move. So, with all that cleared up, we'll calculate the damage...
Answer
First use: Fury Cutter has 40 base power, and STAB and Technician apply.
40 x 1.5 x 1.5 = 90 power.
Second consecutive use: Fury Cutter has 80 base power. STAB applies, but Technician does not.
80 x 1.5 = 120 power (210 total).
Each consecutive use after the second: Fury Cutter has 160 base power. STAB applies, but Technician does not.
160 x 1.5 = 240 power (450 total).
All up, Scyther's Fury Cutter will do the rough equivalent of an unboosted 450 base power move in three consecutive turns for an average of 150 base power per turn. Fury Cutter's raw base power peaks at 160 and will not increase on the fourth consecutive use, but the overall average per turn will increase if you keep using it, so the more consecutive turns you use it, the more value you get from it.
