monotonic sequences

We are asked to give a monotonic subsequence of the given sequences:
An = (-1)^n The only terms of this sequence is {-1, 1}. Can you explain why a monotonic subsequence for this sequence is {1, 1.11, 1.111, 1.1111,.... } or {-1, -1.1, -1.11, -1.111},...}

bn = 5^(-1)^n The only terms of this sequence is {1/5,5, 1/5,5,...}
If the above is true then a monotonic subsequence for the above sequence could be {5, 5.1, 5.11, 5.111}. What's an example of a nonincreasing monotonic subsequence for this sequence? Is it {1/5, 1/6, 1/7...}?
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