a) 1 + 1001 = 1002; 2 + 1000 = 1002 ... 500 + 502 = 1002; 501
500(1002) + 501 = 501501
b) 1 + 1001 = 1002; 3 + 999 = 1002 ... 499 + 503 = 1002; 501
(500/2)(1002) + 501 = 251001
Sarah R.
asked 03/18/20Use Gauss's approach to find the following sums (do not use formulas) a. 1+2+3+4+....1001 b. 1+3+5+7+....+1001
a) 1 + 1001 = 1002; 2 + 1000 = 1002 ... 500 + 502 = 1002; 501
500(1002) + 501 = 501501
b) 1 + 1001 = 1002; 3 + 999 = 1002 ... 499 + 503 = 1002; 501
(500/2)(1002) + 501 = 251001
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