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An arithmetic series is 2,5,8,11... What is the nth term of this sequence?

Step 1: Difference between each term is 3. As the difference is constant it means that the degree of n in the nth term formula must be 1 (i.e no n^2, n^3 etc.). As we are adding 3 to each successive term ...

TM
Answered by Tarun M. Maths tutor
36233 Views

Using Pythagoras theorem to find side lengths of a triangle

Pythagoras theorem can sound quite intimidating but it involves remembering just one equation and using it like a rule. This rule can only be used on right-angled triangle. Just remember c2 = ...

JB
Answered by Jessica B. Maths tutor
2816 Views

Solve the following equation, give the answer/answers as coordinates. y=3x^2 , y=2x+5.

>>> 2x+5=3x^2 >>> 3x^2-2x-5=0>>> (3x-5)(x+1)=0>>> x=-1 or x=5/3>>> therefore (-1,3) and (5/3,25/3)

BO
Answered by BUSE O. Maths tutor
3844 Views

In the triangle XYZ XY = 5.6 cm YZ = 10.5 cm angle XYZ = 90 Work out the length of XZ

Triangle XYZ forms a right angles triangle, so pythagoras' theorem can be used to calculate the missing side. We are given the two side length adjacent to the right angle, so we need to find the hypotenus...

MH
Answered by Miss H. Maths tutor
7768 Views

How do you solve simultaneous equations?

There are two main methods for solving simultaneous equations. The first method is the elimination method. This method uses addition or subtraction of the two equations with equal amounts of 'x' or 'y' in...

WS
Answered by Wei Shi H. Maths tutor
4045 Views

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