butterflydreamer
  • butterflydreamer
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Mathematics
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jamiebookeater
  • jamiebookeater
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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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