anonymous
  • anonymous
Expeess the series 1+4+9+16 using sigma notation
Mathematics
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anonymous
  • anonymous
Expeess the series 1+4+9+16 using sigma notation
Mathematics
chestercat
  • chestercat
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Empty
  • Empty
Ahhh this is a fun one! Any ideas? Give it your best shot and guess and I'll help you understand. I remember when I first saw sigma notation I didn't understand it either, but through guessing I can understand where you need help in understanding.
skullpatrol
  • skullpatrol
want a hint?
anonymous
  • anonymous
Yes

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Empty
  • Empty
Not even gonna try? :(
skullpatrol
  • skullpatrol
$$\Huge1^2 = 1$$$$\Huge2^2 = 4$$$$\Huge3^2 = 9$$$$\Huge4^2 =16$$
anonymous
  • anonymous
Do i add 1+4+9+16 by any chance? Sorry i dont remember how to do this
skullpatrol
  • skullpatrol
yes
skullpatrol
  • skullpatrol
Sigma notation is a shorthand way of writing: n + (n+1) + (n+2) + ...
skullpatrol
  • skullpatrol
\[\sum_{1}^{4}\]
skullpatrol
  • skullpatrol
"Sigma" means "sum"
anonymous
  • anonymous
Oh ok.
skullpatrol
  • skullpatrol
|dw:1436362346004:dw|
anonymous
  • anonymous
1+4+9+16 =30 So n^2 has to equal 30 too?
skullpatrol
  • skullpatrol
30 is what the sum equals.
skullpatrol
  • skullpatrol
|dw:1436362667428:dw|
skullpatrol
  • skullpatrol
|dw:1436362706460:dw|
skullpatrol
  • skullpatrol
recall: 4! = 1*2*3*4 = 24
skullpatrol
  • skullpatrol
that^ is called factorial notation
skullpatrol
  • skullpatrol
sigma notation uses pluses
anonymous
  • anonymous
Ok
anonymous
  • anonymous
So is the answer is n^2=30?
skullpatrol
  • skullpatrol
|dw:1436441192523:dw|

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