(12) Let p 2 1 be a real number. Let an is a sequence so that |sn+1—sn| 3
$ for all n E N.
(a) In the case that p gt; 1 show that SR is convergent.
(b) In the case that p = 1 show that 3n does not have to be conver-
gent. (That is, give an example of 8,1 which is not convergent.
For both parts, you may use any result about series convergence in
the class or in the book. Math