Consider the Series ​

question 60

Short Answer

Consider the series
​ .
​
Determine whether the geometric series converges or diverges.
​
If it converges, find its sum.

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Definitions:

Unicellular

Describes organisms made up of a single cell, which performs all necessary functions for life, such as bacteria and some algae.

Stramenopiles

A diverse group of eukaryotic organisms, including diatoms and brown algae, characterized by fine, hair-like structures on their flagella.

Biflagellate

Having two flagella, which are long, slender projections that provide locomotion to various cells and single-celled organisms.

Nanoplankton

Extremely minute (<10 μm in length) algae that are major producers in the ocean because of their great abundance; part of phytoplankton.