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How do you find (and simplify) an expression, in terms of n, for the sum of the first n terms of the series 5 + 8 + 11 + 14 + ... ?

Normally, this would be quite hard! We'd have to play around with the sequence and try different formulas until something worked. Luckily, this is what we call an "Arithmetic Series". That's becaus...
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Answered by Matthew S. • Maths tutor
19686 Views

How do you find the maximum and minimum value of a quadratic function with no use of calculus?

By completing the square, since this makes you see that the square will always be >= 0 and the other part allows you to calculate the minima or maxima depending on the sign in front of x 2 . E.g. x 2 +4x=...
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Answered by Alexander O. • Maths tutor
10439 Views

Discuss the possible criminal liability of Adam for the injuries to Brandon and to Calvin. Discuss the possible criminal liability of Calvin arising out of his shouting at Adam.

(Source based) Battery is a summary offence (no more than 6 months in prison). It is found when the defendant inflicts unlawful, personal violence upon the Victim, as found in the case of Cole v Turner. Bran...
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Answered by Sam W. • Law tutor
7431 Views

How did Hitler change the Nazi party between 1924-1929? (8 marks)

This is a change/development question, and because it is 8 marks you should spend 12 minutes on it. Aim for 3 distinct points in 3 separate paragraphs. In order to get the full 8 marks, you must link each pa...
EG
Answered by Elly G. • History tutor
9101 Views

Describe the formation of a waterfall?

Waterfalls form where there is a layer of hard rock on top of a layer of soft rock. The soft rock is eroded more quickly and undercuts the hard rock creating a ledge. The overhanging ledge is unsupported and...
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Answered by Emily B. • Geography tutor
3965 Views