When a pair of identical resistors is connected in series which of the following is the same for both resistors: voltage across each, power dissipated in each, current through each? What about if the resistors are different from each other?

The voltage across each, power dissipated in each, and current through each are the same for both resistors.

When the resistors are different I believe the voltage across each, and the power dissipated in each are different and the current through each are the same.

Is this correct?

I will be happy to critique your thinking. Hint: if the resistors are different, it does not change the answer to the first part.

You are wrong, far wrong. Why would voltage across each be the same? If a river flows over two consecutive waterfalls, why would the height of the waterfalls be the same? Wouldn't the current be the same?

I guess that makes sense. I don't really understand physics and I have been struggling through this class. Can you please just help me out with the question.

http://www.allaboutcircuits.com/vol_1/chpt_5/2.html

the current changes I =I1=I2=I3

WHERE v=v1+v2=v3
in series. in parallel it is opposite .no changes if resistors changes as it is series .

The voltage going through each individual resistor would be the same because the resistors are identical.