Verify the following : `(5/4+(-1)/2)+3/2=5/4+((-1)/2+(3)/2)`

Verify the following : 3/4+(-2)/5=(-2 )/5+3/4

Verify the following: (i) ((3)/(4)+(-2)/(5))+(-7)/(10)=(3)/(4)+((-2)/(5)+(-7)/(10)) (ii) ((-7)/(11)+(2)/(-5))+(-13)/(22)=(-7)/(11)+((2)/(-5)+(-13)/(22)) (iii) -1+((-2)/(3)+(-3)/(4))=(-1+(-2)/(3))+(-3)/(4)

Verify the following: (-1,2,1),(1,-2,5),(4,-7,8) and (2,-3,4) are vertices of a parallelogram.

Find the sum of the following infinite series (1)/(2)((1)/(5))^(2)+(2)/(3)((1)/(5))^(3)+(3)/(4)((1)/(5))^(4)+...

The greatest among the following real numbers 1,2^((1)/(2)),3^((1)/(3)),4^((1)/(4)),5^((5)/(5)) is

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)

What should come next in the following number series ? 4 5 3 2 1 5 4 5 3 2 1 4 4 5 3 2 1 3 4 5 3 2 1

What would come next in the following number sequence ? 2 3 2 3 4 2 3 4 5 2 3 4 5 6 2 3 4 5 6 7 2 3 4 1) 6 2) 5 3) 8 4) 9 5) None of these

The value of 4(2)/(5) div { (1(1)/(2)-3(1)/(5)) 3(2)/(5) +(2(1)/(5) div 1(1)/(2) + 4(2)/(5)) +(1)/(2)} is :