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It's correct, but just with some typos. It should be $6(k+1)^2$ instead of $6+(k+1)$ on your third last line, and you missed a right bracket on your last line of proof. Also, usually it's easier to edit and look for us if you can type it in mathjax.
abc...
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Okay great, thanks for the help. Is mathjax free to download, and if so, where do I find it? – Chairman Meow Jan 31 '19 at 01:13
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https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference?page=1&tab=votes#tab-top – abc... Jan 31 '19 at 05:04
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Hope that helps. – abc... Jan 31 '19 at 05:05
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Yes it does, thanks! – Chairman Meow Feb 01 '19 at 13:56