Proof by induction

[languid patrol]

Hi does anyone mind looking at my solution and letting me know if it’s right?

[arctic gorge]

i believe everything is correct, although i suggest that for 1/4 x k x (k+1)^2 + (k+1)^2 you don't need to expand everything out, instead factor and write it as (1/4 x k +1)(k+1)^2 = 1/4 x (k+4)(k+1)^2

same thing for 1/4 x (k+1)(k+2)^2

[languid patrol]

thanks and I’ll try to do that next time

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