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Prove that the difference between the squares of two consecutive odd numbers is a multiple of 8.

(2n+3)2-(2n+1)2=(4n2+12n+9)-(4n2+4n+1)=8n+8= 8(n+1)Hence a multiple of 8

DB
Answered by Daniel B. Maths tutor
31076 Views

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...

Answered by Maths tutor
2927 Views

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 contine...

RB
Answered by Rachel B. Geography tutor
11451 Views

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, a...

RB
Answered by Rachel B. Biology tutor
27017 Views

What is the difference between the xylem and phloem?

The xylem and phloem are both tissues for the transportation of substances, required for normal functioning by plants. They differ in what substances they transport and how these are transported, however....

EI
Answered by Emma I. Biology tutor
4571 Views

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