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Find the Sum of the Series, If Possible i=12(13)i\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 3 } \right) ^ { i }

question 248

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Find the sum of the series, if possible.
- i=12(13) i\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 3 } \right) ^ { i }


Definitions:

Agglutination

The clumping together of cells or particles, commonly observed in blood testing or immune responses.

Deep Vein Thrombosis

A medical condition where thrombus (blood clots) form in a deep vein, usually in the legs, leading to potential complications such as pulmonary embolism.

Reticul/o

A prefix in medical terminology related to the reticular formation in the brain or reticulated (net-like) structures in anatomy.

-Penia

A suffix used in medical terminology to denote a deficiency or decrease in the number of something, as in "leukopenia" (decrease in white blood cells).

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