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Let a =(1^2)/1+(2^2)/3+(3^2)/5+.....+((1...

Let `a =(1^2)/1+(2^2)/3+(3^2)/5+.....+((1001)^2)/2001, b=(1^2)/3+(2^2)/5+(3^2)/7+.....+((1001)^2)/2003,` The closest of `a - b` is

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If x = (1 ^(2))/(1) =+ (2 ^(2))/( 3) + (3 ^(2))/( 5) +.....+ (1001 ^(2))/( 2001) , y = (1^(2))/(3) + (2 ^(2))/( 5) + (3 ^(2))/(7) + .....+ (1001 ^(2))/(2003), then ([x -y])/(10) is equal to where [.] denotes greatest integer function)

x=(1^(1))/(1)+(2^(2))/(3)+...(1001^(2))/(2001),y=(1^(1))/(3)+(2^(2))/(5)+...(1001^(2))/(2003) then ([x-y])/(10) is

2(2.001)^(3)+7(2.001)+1~~…

If 1^2+2^2+3^2+....+2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2001)+....+(2003)(1) = (2003)(334)(x), then x equals

If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2)/(3))] and B=[((2)/(5), (3)/(5), 1),((1)/(5), (2)/(5), (4)/(5)),((7)/(5),(6)/(5),(2)/(5))] , then compute 3A-5B .

If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2)/(3))] and B=[((2)/(5), (3)/(5), 1),((1)/(5), (2)/(5), (4)/(5)),((7)/(5),(6)/(5),(2)/(5))] , then compute 3A-5B .

If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2)/(3))] and B=[((2)/(5), (3)/(5), 1),((1)/(5), (2)/(5), (4)/(5)),((7)/(5),(6)/(5),(2)/(5))] , then compute 3A-5B .

If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2)/(3))] and B=[((2)/(5), (3)/(5), 1),((1)/(5), (2)/(5), (4)/(5)),((7)/(5),(6)/(5),(2)/(5))] , then compute 3A-5B .