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A-Level H2 Maths

A-Level H2 Maths

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  • 9758 H2 Maths Resources

9758 Syllabus

Finding number of terms, n in a geometric progression

In this question, we are given a sequence of terms and we are asked to find the number of terms, n in this geometric progression. I have showed how a student approached this question and got stuck in the last few steps.

Will you be doing this question in a similar way?

Will you be faced with the same problem too? Do you know how to move on?

Finding the nth term in GP

Filed Under: 9740 Syllabus, 9758 Syllabus, Sequences & Series Tagged With: GP

Finding magnitude of vectors by cosine rule

The angle between vectors a and b is 60 and |a| = 2, |b| = 1. Show that |2a – b| = sqrt (13) and |2a + b| = sqrt (21). Do we have to use dot product? How do we find the magnitude of vector (2a + b)? I received this question from a student from Nanyang Junior College and would like to share this approach with all of you. I hope the diagram explains it clearly.

The angle between the vectors a and b is 60o and

Filed Under: 9740 Syllabus, 9758 Syllabus, Vectors

Cover Up Rule for Partial Fractions

In MF15 and MF26, we are given the partial fractions decomposition for

  • Non-repeated linear factors
  • Repeated linear factors
  • Non-repeated quadratic factor

It is useful to work with partial fractions especially when we do integration.

I have given 3 examples on how and when we use cover up rule (CUR). It acts like a shortcut to comparing coefficients. However, please note when CUR works and when we have to stick to our old good method of comparing coefficients.

 

Cover up Rule 1

Cover up Rule 2

Cover up Rule 3

 

Filed Under: 9740 Syllabus, 9758 Syllabus, Integration Techniques, O-Level Additional Maths, Partial Fractions, Summary & Examples Tagged With: Cover up rule

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