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How do you prove that (3^n)-1 is always a multiple of 2?

Proof by Induction: The method of Proof by Induction is a simple but very powerful technique. It involves 3 steps: 1) Showing a claim is true for a basic integer value of n (e.g. 0 or 1) 2) Assuming the clai...
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Answered by Saleem A. • Maths tutor
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Describe the structure of the cell membrane

The cell membrane is made up of something called the phospholipid bilayer. This is exactly what it sounds like:a hydrophilic phosphate head on the outside and a hydrophobic lipid on the inside. They form a b...
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Answered by Thomas W. • Biology tutor
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Derive the escape velocity from the surface of a planet with radius, r, and mass, M.

This question is about converting kinetic energy into gravitational potential energy. Escape velocity is the speed required to leave the gravitational field of a mass, in this case it's a planet. In other wo...
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Answered by Thomas R. • Physics tutor
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When and how to use the imperative

La forme simple de l’imp ératif The present imperative is used to give an order or to offer advice. In the imperative mood, the subject pronoun is not used. In the imperative, verbs are only conjugated in th...
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Answered by Eliza J. • French tutor
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Which has a lower boiling point chlorine or bromine, and why?

Chlorine, as chlorine has fewer electrons shells than bromine. As a result, chlorine is smaller and has a smaller atomic radius . The difference in size, relates to boiling point of the molecule. This is bec...
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Answered by Megan F. • Chemistry tutor
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