When you finally get the proof just right

After allt he bs of prrof by induction i've finally done 1 whole question by myself.

THAT'S RIGHT 1 WHOLE QUESTION XD

http://files.physicsandmathstutor.com/download/Maths/A-level/FP1/Papers-Edexcel/Mock%20QP%20-%20FP1%20Edexcel.pdf
for 9 a i did this

After allt he bs of prrof by induction i've finally done 1 whole question by myself.

THAT'S RIGHT 1 WHOLE QUESTION XD

http://files.physicsandmathstutor.com/download/Maths/A-level/FP1/Papers-Edexcel/Mock%20QP%20-%20FP1%20Edexcel.pdf
for 9 a i did this

Well done on doing your first full proof!

Being picky, your final line should be a bit clearer:

Instead of "if true for n = 1" say something like "since true for n = 1... "

The point is that you've already proved true for n = 1 and this along with the inductive step proves the statement for all positive integers. *

Congratulations. Practice tends to make things perfect.

Well done!

As you practice you'll spot every trick in the book.
Sometimes it helps to write down your desired end result for n = k + 1 so you can work towards it, it's surprisingly handy if you're ever seriously stuck.