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(ii) Prove by induction that, for all positive integers n, f(n) = 3^(3n–2) + 2^(3n+1) is divisible by 19

Let P(n) represent the statement that 'f(n) is divisible by 19'. For the basis step, I prove that P(1) is true: f(1) = 33(1)-2+ 23(1)+1 = 19. 19 is divisible by 19 so P(1) is true. I...

DL
Answered by Daniel L. Maths tutor
10195 Views

Record numbers of visitors to the Olympic Games want accomodation in the host city. Explain the effects that this will have on the market for rental properties.

Before starting, it is important to note that the property market is different to other markets as building new houses/flats takes time, so the supply of accomodation cannot be increased quickly. Therefor...

NH
Answered by Nisa H. Economics tutor
1918 Views

How do I know when to use these tenses: imparfait, passé simple and passé composé?

The imparfait and passé simple work together to narrate the past: imparfait is used to describe actions that took place over a certain period of time in the past, and it is used for description, whereas t...

MC
Answered by Mathilde C. French tutor
2403 Views

When do I use 'ser' and 'estar'?

This is one of the most complex questions for Spanish learners, as both verbs mean 'to be'. This can cause confusion even for advanced learners, and so if you study it well now it will set you up with a s...

DH
Answered by Daisy H. Spanish tutor
2127 Views

mRNA is used during translation to form polypeptides. Describe how mRNA is produced in the nucleus of a cell. (6)

The first step in biology is always to make sure you understand and always use specialist biological terms - it's often said you almost learn more vocab in biology A level than you do in French, ...

OE
Answered by Omar E. Biology tutor
4695 Views

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