SOLUTION: use auss approach to find the following sums A. 1,+2,+3,+4,+...+98 B. 1+3+5+7+...+97

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Question 810283: use auss approach to find the following sums
A. 1,+2,+3,+4,+...+98
B. 1+3+5+7+...+97
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use Gauss approach to find the following sums
A. 1,+2,+3,+4,+...+98
a = 1
d = 1
S(n) = (n/2)(a+L)
S(98) = 49(99) = 4851
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B. 1+3+5+7+...+97
a = 1
d = 2
---
Find "n":
97 = 1 + (n-1)2
96 = (n-1)2
48 = n=1
n = 50
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S(50) = (50/2)(1+97) = 2450
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Cheers,
Stan H.
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