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Maths
GCSE

The first four terms of an arithmetic sequence are : 11, 17, 23, 29. In terms of n, find an expression for the nth term of this sequence.

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. We can work this out for the sequence 11, 17, 23, 29. ...

AG
Answered by Aman G. Maths tutor
18783 Views

Write x^2 + 8x + 7 in the form (x + a)^2 + b

We work from right to left (x + a)2 = x2 + 2ax + a2 2a = 8 [coefficients of x must match] a = 4 (x + 4)2 = x2 + 8x + 16 [substitute in a = 4] x2...

WM
Answered by Will M. Maths tutor
14662 Views

What is £23 increased by 4%?

There are two steps to solving this problem. First, we want to find out how much the increase itself is, so we want to calculate 4% of £23. Then, we want to add the result to the £23. That will give us th...

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Answered by Giulia B. Maths tutor
5489 Views

Solve for x and y, with x and y satisfying the equations x+4y=5 and 2x+2y=16.

x=9 y=-1

LS
Answered by Lucy S. Maths tutor
4083 Views

Solve the simultaneous equations for x and y: 2x+4y=-12 and y=-x-2

From the question we have y = -x - 2 so we can sub in -x-2 everywhere there is a y in the first equation.

The equation is then 2x+4(-x-2) = -12 expanding the brackets we get -2x-8=-12 which you can...

DG
Answered by Daniel G. Maths tutor
4323 Views

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