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Demonstrate that (2^n)-1 is not a perfect square for any n>2, n ∈ N.

Assumption: If sqrt(2^n- 1) ∈ℕ , it means that there is a k ∈ ℕ such that (2^n-1) = k^2  ⇒ k is odd, so there is m ∈ ℕ such that (2^n-1)=(2m+1)^2 . By solving the equation we get 2^n= 4m^2+4m+2. We divide...

IV
7433 Views

旅游给人带来什么益处?请列出三点

政府收入的增加,平均商品价格的增加,旅游人总数的增加

Answered by Mandarin tutor
14552 Views

How does the writer use language to describe his son?: With every tiny development – every new step he takes, every new tooth and sound and reaction that comes along to ambush us – we’re confronted with a slightly different child.

There is a semantic field of words linked to growing up or changes in various stages of life such as 'development', 'new' and 'different'. Evidently, this describes the son growing up, most likely from an...

DD
10789 Views

Describe how air is moved in to and out of your lungs.

The process of moving air into and out of your lungs is called ventilation, or breathing. Ventilating the lungs is brought about by the contraction and relaxation of the intercostal muscles and the diaphr...

AB
Answered by Amy B. Biology tutor
13002 Views

The internet and instant communication technologies are profoundly changing our world for the better. Do you agree?

The internet is a function which allows individuals to access masses of data, research information as well as create social profiles. Instant communication technologies include mediums which provide indiv...

DD
Answered by Dilara D. LNAT tutor
4060 Views

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