Math CentralQuandaries & Queries


Question from Trish, a student:

I'm a grade 12 learner working on a math project based on sequences and series. I'd like to know the different types of sequences and series such as fibonacci, fourier, farey, etc.

I've already used the Fibonacci Sequence and Harmonic Series and need two more.
The simpler the sequence or series type the better.

I'd also like to know in which non-mathematical areas use sequences and series and how.
Areas such as engineering or science.

Trish, we have two responses for you...

Hi Trish,

How about geometric series in finance. There is an example in the answer we gave to a previous question. There is another application of geometric series that arises in the leasing of a car. You can find an example on a University of Montana web site. On this same site there is another application of geometric series in the area of job creation and public policy.

I hope this helps,


Hi Trish.

You might consider square sequences and cubic sequences: 12, 22, 32, 42, ... and 13, 23, 33, 43... These are useful when considering areas and volumes.

You might be interested in triangular numbers as well (or any size of this kind).

The semiprime sequence is used in cryptography. A semiprime is a composite number that is the product of two prime number (or perhaps the square of one prime number).


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