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Prove by induction that 11^n - 6 is divisible by 5 for all positive integer n.

Let P( n ) be the statement that 11 n - 6 is divisible by 5. BASE CASE : L et n = 1. This gives 11 1 - 6 = 5 , obviously divisible by 5, therefore we know that P(1) is true. HYPOTHOSIS STEP : Assume that P( ...
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How do I write a comparison essay?

The key thing with comparison essays is to make sure that the essays do compare the two factors throughout. There are two ways to do this: 1) Compare them directly throughout the essay. For example, if you w...
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Answered by Jess L. History tutor
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How do I improve my speaking marks?

Speaking is a difficult thing to practise alone, but there are a few ways you can do it! Here are my top tips: 1) Listen to French radio: you might wonder how this helps your speaking, but one of the key pla...
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Answered by Jess L. French tutor
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What is the volume of carbon dioxide released at room temperature and pressure when 6.2 g of copper carbonate reacts with excess dilute sulfuric acid?

Background Information This is a neutralisation reaction between an acid (sulfuric acid) and a base (copper carbonate). When a carbonate reacts with an acid, the products are a salt, carbon dioxide and water...
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Answered by Andreas O. Chemistry tutor
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Evaluate policies the government can use to increase the rate of economic growth.

Start by defining key terms "rate of economic growth" - the annual percentage increase in real GDP, which is one of the government's main macroeconomic objectives. I would approach this question by...
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Answered by Oliver W. Economics tutor
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