Вычислите: 1/2+(1/(2+4))+(1/(2+4+6))+...+(1/(2+4+6+8+...+20)). Created by Whithoutme. matematika-ru

(2+4+6+8+...+20))...

July 2022 1 16 Report

Вычислите: 1/2+(1/(2+4))+(1/(2+4+6))+...+(1/(2+4+6+8+...+20))

sharadi

1/2 + 1/6 + 1/12 + 1/20 + ... +1/110 = 1/2 + (1/2-1/3)+(1/3 -1/4) +(1/4-1/5)+
+...+(1/10 -1/11)= 1/2 + 1/2 -1/11= 1 - 1/11 = 11/11 - 1/11= 10/11

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