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3. (a) State the nth term of each of the following sequences: (i) 3, 7, 11, 15, 19, ....

4n - 1 Find the difference between the numbers and this decides the number infront of n In the sequence, choose 1 to start - 4n - if n = 4 then this gives you 4 but we need 3 so 4n-1 If we test this and put ...
CM
Answered by Claudia M. Maths tutor
8723 Views

Expand and simplify (x+3)(x+5)

The easiest method for expanding these brackets is to use the FOIL method of expansion. This ensures you multiply every aspect of the brackets together. First - take the first terms of the brackets (so, x an...
AD
Answered by Adam D. Maths tutor
61135 Views

How to solve simultaneous equations?

Let's say we have two equtions: 3x + y = 8 5x + 2y = 14 In order to solve them, we need to bring one of the coefficients to the same number. Let's say we do that with y. So: 6x + 2y = 16 5x + 2y = 14 Now, we...
KW
Answered by Kamila W. Maths tutor
4027 Views

Simultaneous Equations

So I’ve set out a sheet with a few examples of how to do simultaneous equations. The first method shows a simple graphic representation where you can get an estimate of the solutions, but I then show how thi...
LR
Answered by Louis R. Maths tutor
3858 Views

Derive 2*x^(3/2)+x+4

Will differentiate to 3*x^(1/2)+1. As you bring down the power and mulitply it my the coefficients, and take one off of the power for terms with x. And any constant differentiates to 0.
FW
Answered by Finnley W. Maths tutor
3699 Views