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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) = 3 3(1)-2 + 2 3(1)+1 = 19. 19 is divisible by 19 so P(1) is true. I now want to prove tha...
DL
Answered by Daniel L. • Maths tutor
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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. Therefore, ...
NH
Answered by Nisa H. • Economics tutor
2153 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 the ...
MC
Answered by Mathilde C. • French tutor
2730 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 soli...
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Answered by Daisy H. • Spanish tutor
2425 Views

What's the value of the normal force of a vehicle on a convex bridge? What about a concave one?

For a vechicle placed on a convex bridge: N=mg-F cf. For a vehicle placed on a concave bridge: N=mg+F cf. Where mg is the gravitational force and F cf is the centrifugal force.
DM
Answered by Dan M. • Physics tutor
2899 Views