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...

Solving for a geometric series

Solving for a geometric series

Solving for a geometric series

Find the nth term of a Geometric progression

Find the sum of the first n terms of an arithmetic progression

Find the nth term of an Arithmetic progression

Find the nth term of an Arithmetic progression

Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.

Find the first few terms of the Maclaurin and Taylor series of given functions.

Find the first few terms of the Maclaurin and Taylor series of given functions.

Power series solution of $y''+axy'+by=0$ about $x=0$.

Find the first three terms in the binomial series expansion having a non-Natural exponent

Find the first 3 terms of Binomial series having a Natural exponent

Binomial series for Natural exponent

Solving for a geometric series

Solving for a geometric series

Solving for a geometric series

Solving for a geometric series

Find the nth term of a Geometric progression

Find the sum of the first n terms of an arithmetic progression

Find the nth term of an Arithmetic progression

Calculating particular harmonic components of a Fourier series expansion.

Calculating particular harmonic components of a Fourier series expansion.

Calculate a particular harmonic component of the complex form of a Fourier series expansion.

Find the first four non-zero terms in the Maclaurin series for $e^{ax}$.

Find the first three non-zero terms in the Maclaurin series for $\cos(x)$.