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Prove by induction that for all positive integers n , f(n) = 2^(3n+1) + 3*5^(2n+1) , is divisible by 17.

Prove the base caseFor n=0, f(0)= 2 + 15 = 17Therefore, when n=0, f(n) is divisible by 17, base case is true2. Assume true for any integerAssume for n=k, f(k) is divisible by 17f(k)= 2 3k+1 + 3(5 2k+1 ) ;3. ...
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How should I approach an essay title that I find particularly challenging.

The first thing to remember with essay titles is that the question will most likely make a statement and ask you to what extent you agree or disagree with it. For example; "the ideals of freedom and opp...
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Answered by Rebecca C. • English tutor
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How do you critically assess a theory?

To critically assess a theory in a philosophy paper, you need to do three core things. 1) Firstly, you need to clearly explain the theory (this is where you show off all the knowledge, facts and figures that...
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Answered by Lorna T. • Philosophy tutor
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Define the term enthalpy of reaction

A chemical reaction occurs when bonds are broken and formed between atoms. Energy is taken in in order to break bonds; when a bond is formed the molecule becomes more stable, so energy is given out. The enth...
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Answered by Harry K. • Chemistry tutor
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Outline one or more ways in which behaviourists treat phobias.

Behaviourists argue that all behaviours are learnt therefore one way in which they treat phobias is by systematic desensitisation. This is where phobic anxiety is gradually reduced through counterconditionin...
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