8. Which of the following are subsequences of the sequence {an} defined by

 

A. None

B. I only

C. II only

D. III only

E. The correct answer is not

given by A, B, C, or D.

 

Solution: The answer is C

 

The first few terms of the given sequence are:

All the elements of a subsequence of {an} must be contained in {an}. Thus, to recognize which of the three other sequences are subsequences of {an}, write out a few terms.

Clearly, the only sequence above that is a subsequence of {an} is {cn}.