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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

Answered by Daniel B. • Maths tutor

31820 Views

Explain why phenol is nitrated more readily than benzene.

Phenol has a lone pair of electrons on the O group which can be delocalised into the benzene Pi system2) This delocalisation increases the electron density in the pi system compared to benzene3) Thi...

Answered by Daniel B. • Chemistry tutor

3522 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

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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 persua...

Answered by Bart S. • History tutor

4403 Views

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 you...

Answered by Anjali K. • Personal Statements tutor

2566 Views