= 10/56 + 10/140 + 10/260 +...+ 10/1400
= 5/28 + 5/70 + 5/130 + ... + 5/700
= 5/4.7 + 5/7.10 + 5/10.13 + ... + 5/25.28
= 5.1/3.(3/4.7 + 3/7.10 + 3/10.13 + ... + 3/25.28)
= 5/3.(1/4 - 1/7 + 1/7 - 1/10 + 1/10 - 1/13 + ... + 1/25 - 1/28)
= 5/3.(1/4 - 1/28)
= 5/3.3/14
= 5/14