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