Kennedy most likely uses the clause "beachhead of cooperation may push back the jungle of suspicion," to convey the following idea:<span> Cooperation is the first step in lessening misunderstanding between adversarial nations. I think he means that cooperation between nations say in combatting a serious disease like ebola in modern times can bring people from different nations together ie those who are volunteering to combat the disease, say and with those they are treating to show that the volunteers are only there to help the afflicted people such as the Cuban doctors do in response to earthquakes, hurricanes etc.</span>
It is clear that a(n)=2^(1-2^(-n)). In fact, for n=1 this produces 2^(1-1/2)=sqrt(2)=a1 and if it is true for a(n) then a(n+1) = sqrt (2 * 2^(1-2^(-n))) = sqrt(2^(2-2^(-n))) = 2^(1-2^(-(n+1))) (a) clearly 2^(1-2^(-n))<2<3 so the sequence is bounded by 3. Also a(n+1)/a(n) = 2^(1-2^(-n-1) - 1+2^(-n)) = 2^(1/2^n - 1/2^(n+1)) = 2^(1/2^(n+1)) >1 so the sequence is monotonically increasing. As it is monotonically increasing and has an upper bound it means it has a limin when n-> oo (b) 1-1/2^n -> 1 as n->oo so 2^(1-2^(-n)) -> 2 as n->oo
Well answer that call and tell them that you will need to scheldule a appointment...unless you like the intwerveiw with the first job you got intervewed by.
