Sigma Notation Problem

  • Thread starter reliquator
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  • #1
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Okay, I think this problem relates with sigma notation (I'm not good at it)

the sequence given is 2, 4, 8, 16, 32 ......

It wants you to find the sum from 1-50

So the equation thing is 2^N?

How do you find all the sums again...? Thanks
 

Answers and Replies

  • #2
Tide
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Write out the sum:

[tex]S = 2 + 2^2 + \cdot \cdot \cdot + 2^{50}[/tex]

If you multiply the sum by 2 you get

[tex]2S = 2^2 + 2^3 + \cdot \cdot \cdot + 2^{50} + 2^{51}[/tex]

What happens when you subtract the first equation from the second? Can you determine from that what the sum is?
 
  • #3
dextercioby
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If you mean something like

[tex] S=\sum_{k=1}^{50} 2^{k} =...? [/tex]

, i guess the notation shouldn't be too difficult to grasp.
I hope.

Daniel.
 

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