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mr Goodwill [35]
3 years ago
10

How to express -8+4-2+1 in sigma notation

Mathematics
1 answer:
dlinn [17]3 years ago
3 0
It's pretty clear what the pattern is - 2^(k-1) * (-1)^(k-1) would work backwards, but we have to work forwards to get lower in this case, so we could start at -3 (as long as we put the k-1 in absolute value to make sure it's not 1/8), so we could write it as ∑ (k=1, goes to 4) 2^(|k-4|)*(-1)^(k-4) 

It doesn't matter for k-4 because 1/-1 and 1/1 are the same thing as -1 and 1 respectively
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