Question

1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 +

Answer 1

1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56

= 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + 1/5x6 + 1/6x7 + 1/7x8

= 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8

= 1 - 1/8

= 7/8

Answer 2

1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56

= 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + 1/5x6  + 1/6x7 + 1/7x8

= 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/7 - 1/8

= 1 - 1/8

= 7/8