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How do I calculate the 100th term of the sequence 15, 8, 1, -6...

A sequence means a pattern, so the first thing to do is find the pattern. First try seeing what the difference between the numbers is. 15-7=8, 8-7=1, 1-7=6, so the pattern must be to subtract 7 each time....

KS
Answered by Katerina S. Maths tutor
10254 Views

How do I find the derivative of 2^x?

To find the derivative of any number to the power "x", such as 2x, 5x, or even 4.13x, we first consider the general form ax. We need to be a little cr...

KS
Answered by Katerina S. Maths tutor
39907 Views

Find the value of x when x^2-x-6=0

We firstly need to look how to factorise quadratics. (x    )(x    ) By looking at this, we need 2 numbers that add together to make -1. We need 2 numbers that multiply to make -6. To multiply to make -6, ...

JR
Answered by Josh R. Maths tutor
4908 Views

How do I find a stationary point? And how do I determine whether it is a maximum or minimum point?

In order to find the stationary points of any funcion, you must differentiate. Once you have differentiated, the deriviate of this function must be set equal to 0, in order to determine what the stationar...

NA
Answered by Neelam A. Maths tutor
12979 Views

Solve the simultaneous equations: 15x+10y=20 4x+5y=17

To explain this question to a student, I would initially ask my own questions in order to gain an understanding of what the student already knows about simultaneous equations. I would ask if they had seen...

RA
Answered by Roshan A. Maths tutor
3249 Views

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