Statement 1: Let F_1(n)=1+ 12+ 13+ + 1n, then _ r=1 ^nF_1(r)=(n+1)F_1(n)-n. Statement 2: 1^ -1 +2^ -1 +3^ -1...

Question

Statement 1: Let F_1(n)=1+ 12+ 13+ + 1n, then _ r=1 ^nF_1(r)=(n+1)F_1(n)-n. Statement 2: 1^ -1 +2^ -1 +3^ -1 + +n^ -1 n> ( 1+2+3+ +n n )^ -1 or (1+ 12+ 13+ + 1n )> n^2 n or (1+ 12+ 13+ + 1n )> 2n (n+1) .

Accepted Answer

(B)

JEE Main Mathematics question

Solution

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