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Use induction to prove that for all positive integers n, f(n)=2^(3n+1)+3x5^(2n+1) is divisible by 17.

Prove the basis to be true. Let n=1 and this gives f(1)=16+375=391 which is divisible by 17. Now assume that if we let n=k f(k) is divisible by 17. If we now let n=k+1 and prove f(k+1) is divisible by 17 ...

MH
2948 Views

Differentiate 6x^(7/2)-5x^2+7

42x^(5/2)-10x

AH
Answered by Adam H. • Maths tutor
3830 Views

What is 'Virtual Memory', and how does it work?

Virtual memory is the practice of moving information from RAM to secondary storage (eg the hard disk). It allows computers to make use of more memory than they have installed

BC
Answered by Barnaby C. • Computing tutor
2264 Views

‘Kantian ethics provides the best approach to business ethics.’ Discuss

Kantian ethics is deontological, meaning that the actions rather than the consequences matter in ethical decision making. For Kant, the essence of morality is the goodwill, and, reason is at the centre of...

MT
25992 Views

What is the series of events that occur when an action potential enters the presynaptic neuron

The membrane around the presynaptic neurone depolarises This depolarisation causes Ca2+ voltage-gated channels to open and Ca2+ influxesCa2+ causes vesicles with specific neurotransmitters to migrate to t...

JA
Answered by James A. • Biology tutor
2859 Views

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