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How to derive the formula for a geometric series sum

Any geometric series is defined by an initial term a , and a common ratio b . This means that we start with a and multiply by b to get each next term.And so the general geometric series is written:a r^ 0 ,a ...
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Answered by Zeeshan A. Maths tutor
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Why do all objects fall at the same rate in a vacuum, independent of mass?

This is only the case in a vacuum because there are no air particles, so there is no air resistance; gravity is the only force acting. You can see it for yourselves with this easy experiment: Take one piece ...
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Answered by Luke T. Physics tutor
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What are different animal's cognitive limitations? How can we observe this in the wild?

There is obviously no black and white answer, but the study of behavioural ecology tackles this issue. Empirical studies in the animal's natural environment are more difficult but more rewarding to conduct t...
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Answered by Chris G. Biology tutor
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What is metallic bonding?

Atoms in a metal are arranged in a lattice formation. What is a lattice? Imagine a grid (squares on a sheet of graph paper for example) where there is a metal atom in each square of the grid. This is called ...
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Answered by Luke T. Chemistry tutor
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Explain what is meant by a semi-fixed exchange rate? With reference to the BBC news story in the link below, explain why the Nigerian central bank increased interest rates and devalued their currency (the naira)?

http://www.bbc.co.uk/news/business-30196496 An exchange rate is the price of one currency in terms of another. When this rate is semi-fixed the exchange rate is allowed to fluctuate between a specified range...
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Answered by Owen C. Economics tutor
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