Find the Sum of the Geometric Series $\sum _ { \mathrm { i } = 1 } ^ { 5 } 2 ( 4 ) ^ { \mathrm { i } }$

question 291

Multiple Choice

Find the sum of the geometric series.
- $\sum _ { \mathrm { i } = 1 } ^ { 5 } 2 ( 4 ) ^ { \mathrm { i } }$

• A) 40
• B) 5140
• C) 264
• D) 2728

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Definitions:

Angle Strain

The increase in energy associated with a molecule when bond angles deviate from their ideal values, often observed in cyclic compounds.

Torsional Strain

A type of strain in molecules caused by rotating around a bond, due to the repulsion between electrons in non-bonded atoms.

Cyclopropane

A cycloalkane composed of three carbon atoms linked to each other to form a ring, used as an anesthetic.

Newman Projection

A method of visualizing the conformation of a chemical compound through a projection along a bond to show the spatial orientation of substituent groups.