1/1*3+1/3*5+1/5*7.1/49*51

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1/1*3+1/3*5+1/5*7.1/49*511/1*3+1/3*5+1/5*7.1/49*511/1*3+1/3*5+1/5*7.1/49*511/1*3+1/3*5+1/5*7+...+1/4

1/1*3+1/3*5+1/5*7.1/49*51
1/1*3+1/3*5+1/5*7.1/49*51

1/1*3+1/3*5+1/5*7.1/49*51
1/1*3+1/3*5+1/5*7+...+1/49*51
=1/2(1-1/3)+1/2(1/3-1/5)+...+1/2(1/49-1/51)
=1/2(1-1/3+1/3-1/5+.+1/49-1/51)
=1/2*(1-1/51)
=25/51
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1/1*3+1/3*5+1/5*7+...+1/49*51
=1/2(1-1/3)+1/2(1/3-1/5)+...+1/2(1/49-1/51)
=1/2(1-1/3+1/3-1/5+....+1/49-1/51)
=1/2*(1-1/51)
=25/51

1/1*3+1/3*5+1/5*7.....1/49*51
=1/2(1-1/3+1/3-1/5+....+1/49-1/51)
=1/2(1-1/51)
=1/2*50/51
=25/51