Help with Past HSC Induction Question (1 Viewer)

[Drewk]

Here is the Q
http://snag.gy/3byXd.jpg
And here is my working so far,
http://snag.gy/1YmTG.jpg
Could you please explain how to expand/finish the Question well
Thanks

 

[funnytomato]

in your last and 2nd last line, did you actually mean multiplication for 53*147^k rather than addition?

the way you use the assumption in step2, is to make 47^k ( or 53*147^(k-1), it wouldn't matter ) the subject
then substitute it in step3