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Катюшаschool35
@Катюшаschool35
July 2022
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Вычислите сумму используя прием Гаусса:
а) 1+2+3+...+20
б) 21+22+23+...+30
в) 1+2+3+...+200
г) 101+102+103+...+200
д) 5+10+15+...+95+100
е) 2+4+6+...+198+200
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Answers & Comments
Moryachka10
S₁₀ = ((2*a₁ + d(n - 1)) / 2)* n =((2*1+1(20-1))/2)*20=210
((2*21+1(10-1))/2)*10=255
(2*1+1(200-1))^2*200=20100
(2*101+1(100-1))^2*100=15050
(2*5+5(20-1))^2*20=1050
(2*2+2(100-1))^2*100=10100
32 votes
Thanks 27
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Answers & Comments
((2*21+1(10-1))/2)*10=255
(2*1+1(200-1))^2*200=20100
(2*101+1(100-1))^2*100=15050
(2*5+5(20-1))^2*20=1050
(2*2+2(100-1))^2*100=10100