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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 + 2 Explanation: '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 amount each ...
RL
Answered by Rebecca L. • Maths tutor
7900 Views

Use logarithms to solve the equation 2^(n-3) = 18000, giving your answer correct to 3 significant figures.

To find the answer first you have to take a log of both sides. I am going to use log to the base 2 for my example - but any base will work as long as they are the same on both sides of the equals sign log(2 ...
EJ
Answered by Emily J. • Maths tutor
7320 Views

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=-3√ 2 Then the In...
EJ
Answered by Emily J. • Maths tutor
11310 Views

A block of mass 5kg is at rest on a smooth horizontal table, and connected to blocks of 3kg and 4kg which are hanging by strings via pulleys on either end of the table. Find the acceleration of the system and the tension in each string.

[would draw diagram to make easier]. We can use Newton's Second Law (F=ma) to resolve the forces acting on each of the blocks (label string on 3kg side T 1 and on 4kg side T 2 , and looking at the diagram us...
DO
Answered by Daniel O. • Maths tutor
4409 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 together...
IK
Answered by Ifrah K. • Maths tutor
3521 Views