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The first four terms in a sequence are: -1, -4, -7, -10. Write an expression for the nth term of the sequence.

Answer: -3n + 2Explanation: 'n' stands for term number. The 'nth' term is a formula with 'n' in it which enables you to find any term of a sequence. This sequence of numbers changes by the same a...

Answered by Rebecca L. • Maths tutor

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Expand and simplify (3 + √ 2)(5 – √ 2)

To complete this question we can use the FOIL method.

First we can multiply out the First number in each of the brackets - 3x5=15

Then we multiply the Outer numbers in each bracket - 3x-√ 2=...

Answered by Emily J. • Maths tutor

9087 Views

Factroise x^2+9x-22 inro its simplest form

This is a basic question that many GCSE student struggle with, the key way to answer this question is to develop a strong technique, understand the process and stick to it!What two number when timed toget...

Answered by Ifrah K. • Maths tutor

2741 Views

Solve the inequality x^2 < -8x + 9

Notice that the inequality may be rearranged to give the quadratic x^2 + 8x - 9 < 0.Factorise the quadratic to give (x-1)(x+9) < 0.Treating the expression as an equality, recall that if the product ...

Answered by Isaac S. • Maths tutor

3554 Views

For any given journey, ABC Taxis charge customers a base fare of £5 plus 80p per mile. XYZ Taxis charge a base fare of £3 plus £1.20 per mile. Find the number of miles, x, that must be traveled in order for ABC taxis to be the cheaper journey option.

This question can represented in algebraic form:
ABC Taxis = 0.8x + 5XYZ Taxis = 1.2x + 3
Noting that the units must be consistent throughout the question, so we have changed the pence into mile...

Answered by Euan M. • Maths tutor

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