Jeff Rosenbury said:
It's not a contest. He is a student needing encouragement.
His coupling capacitors will act as high pass filters. He had some low pass filters at the beginning. As I said, I didn't run the numbers and have no idea if they are the right values. I suspect I could find lots more wrong with it as well. (Why put the filter where the signal strength is lowest, for example?) But this is a teaching moment. .
OK - I got it and I agree with you. It is - perhaps - a teaching event.
And from my own teaching experinece I know that, of course, there are always different teaching approaches.
However, in particular, because of this background I have recommended to the questioner a SYSTEMATIC approach: Starting with the desired filtering action (bandpass) - and shifting the design of the gain stages to the end of the design process. For my opinion, this is the best way to solve the problem.
To be honest - do you really think it would be possible to design the various coupling capacitors of the five stages so that the meet the highpass requirements?
More than that, also the by pass capacitors in the emitter legs exhibit a highpass function!
I really have severe doubts that this approach is a good one.
In short: I think, the best/most simple/most systematic approach would be a series combination of
* A passive 4-pole RC bandpass - decoupled with an emitter follower, followed by
* a two-transistor gain stage (emitter follower and common-emittere stage).