SOLUTION: Use Gauss's approach to find the following sums (do not use a formula). a)1+2+3+4+...101 b)1+3+5+7+...103 Thank you!

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Question 733990: Use Gauss's approach to find the following sums (do not use a formula).
a)1+2+3+4+...101
b)1+3+5+7+...103
Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use Gauss's approach to find the following sums (do not use a formula).
a)1+2+3+4+...101
n = 101
S(n) = (n/2)(1st + last) = 101(102)/2 = 101*51 = 5151
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b)1+3+5+7+...103
n = 104/2 = 52
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S(n) = (n/2)(1st + last) = 26(104) = 2704
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Cheers,
Stan H.
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