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:
colonists, goods, knowledge, Native Americans
Explanation:
often is not a noun
English is not a noun
Answer:
The theme of legend of raven is to show that ravens have their own legendary tales to tell and frog women is to show that not all frogs have to be males.
Explanation:
Answer
Answer:
Explanation:
Plate A is an oceanic plate because it is relatively thinner compared to Plate B. While Plate B is a continental plate because it is thicker and floats higher than the other plate
HOPE U GOT IT
PLZ MARK AS BRAINLIEST!!!
KEEP SMILING!!!!
To emphasize the speakers realization about how quickly moods tend to continually change
