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Examine the sequence 1 + 1/3 + (1/3)^2 + … + (1/3)^n Under what condition does it converge? What does it converge to?

This is a sequence in the form 1 + c + c² + … cⁿ

1 + c + c² + … cⁿ * (1 - c) = 1 – cⁿ⁺¹

So we can rewrite the sequence as

1 – c...

Answered by Hanaan Y. • Maths tutor

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How do you expand brackets? eg. (2x+3)(3x+4)

Use the FOIL method for: (2x+3)(3x+4)

First e.g. multiply first two numbers (2x and 3x)

Outside e.g. 2x and 4

Answered by Naba C. • Maths tutor

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Solve this simultaneous equation: 5x+6y=3 and 2x-3y=12.

Firstly, I will provide a mark scheme and then a full explanation underneath. 5x+6y=3. (1) 2x-3y=12. (2). (5x+6y=3)+(2(2x-3y=12)). (5x+6y=12)+ (4x-6y=24). 9x=27. x=3. Put x is (1) 5(3)+6y=3=15+6y=3. 6y=-1...

Answered by Ashni M. • Maths tutor

11130 Views

solve this equation: 4(x-5)=x+7

Firstly, I will provide a 'mark scheme' type answer.

Then there is a full explanation available underneath. 4 (x-5)=x+7. 4x-20=x+7. 3x=27. x=9. A full explanation: 4(x-5)=x+7 (expand the equation ...

Answered by Ashni M. • Maths tutor

9794 Views

How do I find the equation of a line that is perpendicular to another line?

Okay so let's say that the equation of the line you are given is y=2x+3 and you are told this new line must pass through the coordinates (2,4). The first thing we need to do is check we understand every b...

Answered by Evie H. • Maths tutor

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