`1/(3.4)+1/(4.5)+1/(5.6)+1/(6.7)+...+ 1/(x.(x+1)) = 3/10`
`⇒ 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7+...+ 1/x - 1/(x+1) =3/10`
`⇒ 1/3 - 1/(x+1) = 3/10`
`⇒ 1/(x+1) = 1/3 - 3/10`
`⇒ 1/(x+1) = 10/30 - 9/30`
`⇒ 1/(x+1) = 1/30`
`⇒ x + 1 = 30 ⇒ x = 29`