Sequences – Arithmetic and Geometric Progressions

Quick refresher on arithmetic and geometric progressions – straightforward, and lists just the formulae.  Not a whole lot.

These are useful only tangentially in finance, yet it would be useful to remember the formulae for arithmetic and geometric progressions in case there is an question on the exam.

Arithmetic progression
If a be the first term of an arithmetic progression (AP), n the number of terms, and d the common difference, then:

Sum to n terms of an AP = sum_to_n_ap

Geometric progression
The sum to n terms of a GP where r is the common difference is:

sum_to_n_gp2 if r is less than 1, and

sum_to_n_gp if r is greater than 1.


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