Question

Cho B = 1/11+1/12+...+1/70. Chứng minh: B<5/2

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Answer 1

B=(1/11+1/12+...+1/20)+(1/21+...+1/30)+(1/31+1/32+...+1/40)+...+(1/61+1/62+...+1/70)

=>B<1/10*10+1/20*10+...+1/60*10

=>B<1+1/2+...+1/6

=>B<1+1/2+1/3+1/6+1/4+1/5
=>B<5/2