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Geometry/Arithmetic and Geometric Progression for Complex Numbers

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Question
Dear Prof Azeem

Can Arithmetic progression and Geometric progression series be applied to complex numbers?

Thanks
Prashant

Answer
Hi Prashant,

Yes then can!  For arithmetic progressions, the formula for determining the summation is the same.
For geometric progressions, they will converge if the modulus of the common ratio is strictly less than one (|r|<1).  In such case, the same summation formula applies.

Thanks for asking,
Azeem

Geometry

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Azeem Hussain

Expertise

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

Experience

4 years as a drop-in and by-appointment tutor at Champlain College. Private tutor for dozens of clients over the past 8 years.

Publications
CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry

Education/Credentials
Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.

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