Let the variable Z take in succession the values 6,6 1/2,6 2/3,6 4/5,............. then Z ->

Question

O, 5, 6 or 6,

 

Answer 1

It looks like the sequence is  a_n = 6 + (n-1)/n   with n = 1 , 2, 3, ...

Since the limit of (n-1)/n as n →∞  is 1   ,   the sequence approaches the value 6 + 1  =7