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:
True
Explanation:
There are especially two types of affixes the ones which are added at the beginning of a word, they are called prefixes and the other type are those that are added at the end which is called suffixes. These suffixes have also a division. Some of the suffixes are the consonant suffixes and the others are the vowel suffixes. Some examples of consonant suffixes are -s, -less, -ness, -ment, and -ly. For instance, a word that ends in e keeps the letter e with the consonant suffix, so the word "late" can be added "-ly" to form the word "lately" and the letter e of the word is kept.
Answer:
Popping up like corn.
Explanation:
In this text, we encounter a description of the grasshoppers that are present in Rainy Mountain. The author tells us that these grasshoppers "pop up" like corn. This is meant to describe the way the insects jump out of the grass. By using this simile, the author is able to create a vivid picture of the animals, and thus enrich his description.
Answer: A girl was walking home one day. To the girl, each and every day that she walked home was simply the same. The birds chirped in tune, the wind blew the most prettiest of leaves away, the sidewalk of which she walked on lessened and lessened as she came close to home. It seemed to her that every walk home created the same routine. This time, the birds seemed distant, the wind blew slower than ever, and the sidewalk of which she walked on seemed to grow more and more. This time, things were about to change...
A summary should include a discussion of central ideas and key details in my own words.
Answer: D
Explanation
When writing, it merely explains what the whole story is all about in a few words.
However, you need to touch every aspect of the story, in brief, to ensure the meaning is not lost.
Before writing a summary, you need to read and understand the story to make it easier when writing down,
A review gives readers a clear overview of what the story is about and their expectation when reading.
Thus it needs to be clear and straight forward.
