Xiaodan Leng

This question tests to see if students can recognise a geometric series and based on its common ratio determine if it is convergent or divergent.

Often students need practice re-indexing series, these are three questions that give them that opportunity.

Often students need practice re-indexing series, these are three questions that give them that opportunity.

Determine a finite sum and a limiting sum of a geometric series written using sigma notation. I'm not sure how to eliminate rounding errors...

Basic question on limit laws and the squeeze theorem for sequences.

Graphing $y=ab^{\pm x+d}+c$

Graphing $y=ab^x+c$

Graphing $y=ab^x+c$

Find the determinant of a $3 \times 3$ matrix.

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Simplifying expressions such as $b^{\log_b(x)}$ and $b^{\log_b(x)}$.

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poles of a transfer function

multiple choice testing sin, cos, tan of angles that are negative or greater than 360 degrees that result in nice exact values. 

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

set up x- and y axises.

set linear equations and solve the simulatenous equations.

Solving a Linear and a Non-linear system of equations

Solve a system of three simultaneous linear equations

Solve a logarithmic equation

Solve an exponential equation

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.

Students seem to struggle with Sigma notation, this is a simple question to ensure they understand the index can change without affecting the sum.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

This question tests learner's knowledge of the inverse matrix method for a 3x3 matrix.

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