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Show by induction that sum_n(r*3^(r-1))=1/4+(3^n/4)*(2n-1) for n>0

Base Case n=1sum_1(r 3^(r-1))=1 3^0=1=1/4+(3^1/4) (2-1)=1/4+3/4=1 Assume true for n=ki.e. sum_k(r 3^(r-1))=(3^k/4) (2k-1) then for n=k+1sum_(k+1)(r 3^(r-1))= sum_k(r 3^(r-1))+(k+1) 3^k =(3^k/4) (2k-1)+(k+1) ...
Answered by Maths tutor
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Compare and contrast the structure of DNA and RNA (3 marks)

Similarities: - Both consist of a pentose sugar , a phosphate group and 4 nitrogenous bases. - Both are joined by covalent phosphodiester bonds between the phosphate and pentose sugar groups. Differences: - ...
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Answered by Anna A. Biology tutor
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Why are there only 20 amino acids?

NB this question is discussion based and could be approached from many different angles and include more ideas than I have covered below. I have split this question into 2 parts. Firstly you could dress why ...
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Describe how the lungs are adapted for gas exchange (6 marks)

-There are a large number of alveoli , increasing the surface area available for gas exchange. The alveoli have many infoldings , further increasing the surface area. - The walls of the alveoli are thin , th...
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Answered by Anna A. Biology tutor
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Examine why economic globalisation is controversial. (12 marks)

One major controversy regarding economic globalisation is that it results in the perpetuation of economic inequalities between states due to the need for developing states to enter the global free market. Th...
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Answered by Polly J. Politics tutor
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