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Prove 2^(n+2) + 3^(2n+1) is a multiple of 7 for all positive integers of n by mathematical induction.

Let P(n) be the proposition that 2n+2 + 32n+1 is a multiple of 7 for all positive integers of n.
Let n=123 + 33 = 8 + 27 = 35 = 7(5)This is divisible by 7....

EP
Answered by Eashan P. Maths tutor
9443 Views

How do I write a good introduction to an essay?

A good introduction is clear, concise, and shows the examiner that you have a firm grasp on the relevants concepts and material. I always start my introductions by setting out in a single sentence the mai...

JH
Answered by James H. History tutor
1466 Views

To what extent are Medea's action's 'monstrous'? Explore the theme of monstrosity in the play.

Ideally the student should come up with three key themes for this essay on monstrosity e.g. Infanticide, the murder of Jason's new bride and Medea's manipulation of other characters.The introduction shoul...

GO
1800 Views

Explain the process of DNA replication, including the names of vital enzymes

DNA replication is used to copy DNA. This process is semi-conservative, meaning the new double helix contains both a parent and a new strand. The process begins during S phase, where helicase unwinds the ...

FV
Answered by Farrah V. Biology tutor
1455 Views

Explain the stages of aerobic respiration that occur in the mitochondria of eukaryotes. [8]

Aerobic respiration is the controlled released of energy in cells by converting organic molecules into ATP. It invovles the reduction and oxidation of electron carriers. Firstly the link reaction occurs w...

JP
Answered by Joonatan P. Biology tutor
7940 Views

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