butterflydreamer
  • butterflydreamer
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Mathematics
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butterflydreamer
  • butterflydreamer
Question/picture attached below: http://prntscr.com/7ztnhm
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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butterflydreamer
  • butterflydreamer
Since each side of the xylophone has "n" wooden bars and there is an extra one in the centre, do we treat this as two series?
anonymous
  • anonymous
well, there are \(2n+1\) bars, so the \(2n\) are from the left,right side, and then the \(1\) is the middle. so you can just model it as the middle plus double a series for both sides
butterflydreamer
  • butterflydreamer
hmm.. so what if i did something like this? \[S = \frac{ n }{ 2 } (20 + n(n-1)b) + \frac{ n+1 }{ 2 }(20 + nb) \]

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butterflydreamer
  • butterflydreamer
Just tested it by expanding and i eventually proved S = bn^2 + 20n + 10 so i guess it works :)

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