(2)bn = 2/(n+ 1)(2n+4)= 1/(n+ 1)(n+2)= 1/n+ 1- 1/n+2
Then TN = b1+B2+''''+BN =1/2-1/3-1/4+'''+65438+.
Then when n= 10, t10 =1/2-12 = 5/12.