Question

Can someone help me to find the arithmetic expression for this summation Xn: summation of (1/ n+i ) where i starts from 1, and it stops at where n= i, for n >=1. i.e.
X1 = 1/1+1 = 1/2.
X2 = (1/2+1) + (1/2+2) =1/3 + 1/4 = 7/12
X3 = (1/3+1) + (1/3+2) + + (1/3+3) = 74/120
........

the purpose of finding the arithmetic expression is to show that the sum is less or equal to 1. i.e. Xn is <=1.