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
Answer:He is referred to as a "king" over the whole realm.
Explanation:
Answer:
The other members of the Greaser gang are Johnny Cade, Dally Winston, Two-Bit Mathews, and Steve Randle. Later that night, Ponyboy and Johnny accidentally fall asleep in their favorite vacant lot. Ponyboy runs home, but when Darry scolds him and hits him for the first time, he goes back to find Johnny.
Explanation:
When making decisions within the
council, the Iroquois Constitution warns a lord to be mindful of the people who
have always view the present and future of the country. When the minds of these
people unite, they can change the way of a country to get the change they want.
The answer of x is 68 since 90 - 22 =68 degrees
