hi everyone

need help to verify my working.

question:

compute S5 for

an(limit=infinity,n=1) if 1/(n(n+1))

my working=

n=1,= 1/(1(1+1)) =1/2

n=2,= 1/(2(2+1)) =1/6

n=3,= 1/(3(3+1)) =1/12

n=4,= 1/(4(4+1)) =1/20

n=5,= 1/(5(5+1)) =1/30

sum = 1/2+1/6+1/12+1/20+1/30 = 5/6

thank you in advance for all your help