The first four terms of known sequence are 2 / 3,3 / 4,5 / 6. Write a general term formula

The first four terms of known sequence are 2 / 3,3 / 4,5 / 6. Write a general term formula


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



According to the first four terms of the following infinite series, write out a general term formula of the series: 1 / 3, 1 / 6, 1 / 9, 1 / 12
There is also one question ~ 1 / 2, 3 / 4, 5 / 6, 7 / 8


a(n)=1/(3n) (n>=2),a(1)=-1/3



The sequence is 1, 3, 6, 10 How to sum


an-a(n-1)=n
a(n-1)-a(n-2)=n-1
.
a3-a2=3
a2-a1=2
Then add it up