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Find the nth term in the series: 3, 7, 11, 15, 19

Find the difference between each value. 7-3, 11-7 ... For this series the difference is 4. The nth term is then 4n + or - a constant. The series is 3, 7, 11.. each of these is 1 below a multiple of 4. 4

Answered by Hermione W. • Maths tutor

32330 Views

How to find the gradient of a line?

The gradient, m, is the change in the y coordinates over the change in the x coordinates. M=(y₂- y₁) / ( x₂- x₁)

Answered by Hermione W. • Maths tutor

2913 Views

Differentiate 7(3x^2+7)^(1/3)

Begin by differentiating the terms in the brackets, which gives just 6x. Bring 6x forward, out of the brackets, together with the index on the brackets - 1/3. This gives 42x/3 or 14x in front of the brack...

Answered by Tomas M. • Maths tutor

3867 Views

express (2x^2-3x-5)/(x^2+6x+5) in the form (ax+b)/(cx+d)

(2x-5)/(x+5)

Answered by Matthew B. • Maths tutor

8854 Views

Solve the following simultaneous equations y + 4x + 1 = 0, y^2 + 5x^2 + 2x = 0

Here we can either use the substitution method or the elimination method. The elimination method here would be hard to carry out due to there being no term which we can make equal in terms of only one of ...

Answered by Alex W. • Maths tutor

4017 Views