This is an exercise in my book that I can't figure out. And there's no answer sheet for it so I don't know if I did it right.
an = 1/n+1 - 1/n+2
I got these as the first terms of the sequence:
a1 = 1/6
a2 = 1/12
a3 = 1/20
a4 = 1/30
Based on those, I got these as the first partial sums of the sequence:
S1 = 1/6
S2 = 1/4
S3 = 3/10
S4 = 1/3
I feel the partial sums are wrong, and I can't figure out the Nth partial sum of the sequence (Sn = ?).
Any help or pointer would be greatly appreciated.