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Prove that the square of an odd number is always 1 more than a multiple of 4

2n+1 will always be an odd number (e.g. if n is equal to 3 the answer would be 7, an odd number) So, we square 2n+1 and write this as (2n+1) 2 2n +12n 4n 2 2n+1 2n 1Then multiple out the brackets to give 4n ...
Answered by • Maths tutor
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‘The military capability of the Normans was the most important reason for their victory at the Battle of Hastings in 1066.’ How far do you agree?

1 st paragraph: William’s preparation – mildly significant - Mildly significant - Cause – Papal banner from friend Lanfranc in persuading the pope – long-term consequences - Papal banner – psychological effe...
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Answered by Bart S. • History tutor
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How do you write about your achievements?

It's extremely important for your personal statement to be unique to you. It's also important that your statement isn't just a list of your achievements without relating it to how it would help you in your f...
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What are the tectonic hazards associated with a destructive plate margin?

Tectonic hazards are hazard events that occur as a result of tectonic activity. There are two forms of destructive plate margins: subductive and collision. A collision plate margin occurs when two continenta...
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Answered by Rachel B. • Geography tutor
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How does concentration gradient affect the rate of diffusion?

Diffusion is the movement of a substance from areas of high concentration to areas of low concentration, down a concentration gradient. As a result of diffusion, substances may move in and out of cells, acro...
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Answered by Rachel B. • Biology tutor
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