1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .(3)若1/1X3+1/3X5+1/5X7+.+1/(2n-1)(2n+1)的值为17/35,求n的值

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1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .(3)若1/1X3+1/3X5+1/5X7+.+1/(2n-1)(2n+1)的值为17/35,求n的值
1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .
1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .
(3)若1/1X3+1/3X5+1/5X7+.+1/(2n-1)(2n+1)的值为17/35,求n的值

1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .1/1X2=1-1/2 1/2+3=1/2-1/3 1/3+4=1/3-1/4 .(3)若1/1X3+1/3X5+1/5X7+.+1/(2n-1)(2n+1)的值为17/35,求n的值
1/(1×3)+1/(3×5)+...+1/[(2n-1)(2n+1)]
=(1/2)[1-1/3+1/3-1/5+...+1/(2n-3)-1/(2n-1)+1/(2n-1)-1/(2n+1)]
=(1/2)[1-1/(2n+1)]
=n/(2n+1)=17/35
n=17