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Work out the nth term of the sequence 3, 7, 11, 15, ...

This is an example of an arithmetic series because each term is +4 from the previous term.This means for the "nth term" we start with +4n.Now we take a specific term from the sequence e.g. 3 (1st t...
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Answered by Alice L. • Maths tutor
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How do I expand double brackets? E.g. (4x+7)(3x+5)

In order to expand the brackets, we need to ensure that EVERYTHING in the left bracket is multiplied by EVERYTHING in the right bracket. There are 3 methods for helping us to times out the brackets. These ar...
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Answered by Shona A. • Maths tutor
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Solve algebraically: 6a+3b=24, 3a-b=7

Equation 1 : 6a+3b=24Equation 2: 3a-b=7 Rearrange equation 2 to make b the subject:add b to both sides : 3a=7+bminus 7 from both sides: 3a-7=b Substitute this into Equation 1 : 6a + 3(3a-7)=24 Multiply out t...
EG
Answered by Emily G. • Maths tutor
6090 Views

Find the coordinates of the stationary points of the curve 3x=y+6x+3

First, straight away from reading the question you know this question will involve differentiating the function with respect to x so immediately you want to re-write the equation in terms of y which in this ...
JS
Answered by James S. • Maths tutor
4601 Views

The equation of line L1 is y=4x+3, The equation of line L2 is 4y-16x-2=0, Show that these two lines are parallel.

The equation of a line is shown in the form y=mx+c to prove that two lines run parallel you must prove that they have the same gradient or value of 'm', the number before x. The first equation L1 is already ...
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Answered by Sophie C. • Maths tutor
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