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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. Th...
KS
Answered by Katerina S. Maths tutor
11585 Views

How do I find the derivative of 2^x?

To find the derivative of any number to the power "x", such as 2 x , 5 x , or even 4.13 x , we first consider the general form a x . We need to be a little creative here. We know that any variable ...
KS
Answered by Katerina S. Maths tutor
41469 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, we need a...
JR
Answered by Josh R. Maths tutor
5868 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 stationary p...
NA
Answered by Neelam A. Maths tutor
19682 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 si...
RA
Answered by Roshan A. Maths tutor
4076 Views