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The first term of an arithmetic series is a and the common difference is d. The 12th term is 66.5 and the 19th term is 98. Write down two equations in a and d then solve these simultaneous equations to find a and d.

The first step is to recall the formula for arithmetic progressions: u(n) = a + (n-1)d We can then put all the information given in the question into this so u(12) = 66.5 = a + 11d and u(19) = 98 = a ...

EW
Answered by Eleanor W. Maths tutor
6804 Views

A curve has equation (x+y)^2=x*y^2, find the gradient of the curve at a point where x=1

  1. Differentiating left hand side: 2(x+y)(1+dy/dx) from the chain rule 2. Differentiating right hand side: y2+2xy(dy/dx) from the product rule 3. Equating sides and taking out factors of dy/...
PK
Answered by Peter K. Maths tutor
3802 Views

How do I write an Oxbridge personal statement?

For this I would advise three key points.

(1) Remember you're applying to study a subject not, for a career. At Oxbridge there is a special emphasis on this and the people r...

SP
1647 Views

Describe how crude oil is separated by fractional distillation.

Crude oil is composed of hydrocarbons of different lengths. In a fractional distillation chamber, the crude oil is heated and cooled to different temperatures. The shorter chain hydrocarbons will boil at ...

SP
Answered by Sophie P. Chemistry tutor
12160 Views

What is an Oxbridge interviewer looking for?

2 main things:

Intellect – your intelligence: This includes showing that you are able to think on your feet, able to logically and clearly articulate a view point ...

MH
1574 Views

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