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:
Explanation:
Nick hears from various people that Gatsby is a German spy, an Oxford graduate, and someone even claims Gatsby once killed a man. People used Gatsby for his extravagant parties: most of his "new money" guests didn't even know him.
<span>Insertion of one of two bases shifts the entire codon and changes all coding regions from there on out. Introducing three bases will place a new amino acid into the protein and can change the overall structure and binding regions, but it will for the most part be the same protein. Adding in those two will change every amino acid after that point, making it longer, shorter and possibly a completely new protein.</span>
Answer:
Antigone's decision to defy Creon's orders and bury her brother
Answer:
C. Metaphor
Explanation:
They are describing Lay rotting in the sun, thousands of dead bodies there, is a famous victory. Meaning that they are describing that as a famous victory. They do not use the words like or as.
