Chapter2-sequence-Section3

classify the type of sequences as follows:

Groups:

(a) increasing

,

(b) decreasing

,

(c) non-increasing and non-decreasing

• (1,1,1,1,...)

• (1,4,9,16,25,...)

• (-1,-2,-3,-4,...)

• (1, 1/2, 1/3, 1/4, ...)

• (1,-1,1,-1,1,-1,...)

A convergent sequence is ​ (a)  

• bounded
• divergent
• monotone
• unbounded