induction conclusions (2 Viewers)

[billym]

I have been to various seminars and spoken about this issue with several different HSC markers.

Induction questions are worth 3 marks, and the 3 marks are allocated as follows:

1st mark: Proving the statement is true for n=1.

2nd mark: Correctly integrating your assumption (assume true for some n = k) into the proof for n = k + 1.

3rd mark: Breaking down the proof to a point where it is clear that if it is true for n = k, it is true for n = k + 1.

Technically you could leave it there and you would be awarded full marks. At most, write "therefore true for all integers n >= 1 by induction".

 

[asianese]

Perhaps a 4th mark will be given if the algebraic manipulation is lengthy.

 

[billym]

Perhaps a 4th mark will be given if the algebraic manipulation is lengthy.

I tend to think if there was enough working to justify a 4th mark, they'd ditch the question rather than allocate 4 marks for a single question. Pretty rare for 4-markers to be in HSC exams nowadays.

 

[asianese]

That's true.