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How do you find (and simplify) an expression, in terms of n, for the sum of the first n terms of the series 5 + 8 + 11 + 14 + ... ?

Normally, this would be quite hard! We'd have to play around with the sequence and try different formulas until something worked. Luckily, this is what we call an "Arithmetic Series". That's becaus...
MS
Answered by Matthew S. • Maths tutor
19779 Views

How do you find the maximum and minimum value of a quadratic function with no use of calculus?

By completing the square, since this makes you see that the square will always be >= 0 and the other part allows you to calculate the minima or maxima depending on the sign in front of x 2 . E.g. x 2 +4x=...
AO
Answered by Alexander O. • Maths tutor
10631 Views

Sunita has 75 pens and she ties them into bundles of 8. How many pens does she have left over?

We can work the remainder by using division, and one of the most common methods to use is long division. (Here I would present the method on a whiteboard) As we can see, the closest multiple of 8 to 75 is 72...
MU
Answered by Melanie U. • Maths tutor
4195 Views

How many thirds are there in 9?

It is crucial to know that three thirds make up 1. If there are 9 lots of 1, then we would need 9 times the amount of thirds that make up 1. Therefore, there are (9 x 3) thirds in 9, which equals 27 thirds.
MU
Answered by Melanie U. • Maths tutor
4681 Views

Simplify the following expression fully: 4x + 5y + 6x - 7y

We must identify the like terms and combine them: 4x + 5y + 6x - 7y 4x + 6x = 10x 5y - 7y = -2y Therefore, the simplified expression is 10x - 2y.
MU
Answered by Melanie U. • Maths tutor
6586 Views