find the nth term awmd partail sum of the harmonic series below

Question

1/3+1/8+1/15+1/12+..........show working plz

Answer 1

3 = 1*3
8 = 2*4
15 = 3*5
You sure 1/12 is next? Not
1/24, since
24 = 4*6

Answer 2

Partial sum =

1/2{3/2-2N+3/(N+1)(N+2)}