Find the Sum of the Infinite Geometric Series $$\sum _ { n = 0 } ^ { \infty } \left( - \frac { 1 } { 8 } \right) ^ { n }$$

question 46

Multiple Choice

Find the sum of the infinite geometric series.? $$\sum _ { n = 0 } ^ { \infty } \left( - \frac { 1 } { 8 } \right) ^ { n }$$ ?

• A) \(\frac { 8 } { 9 }\)
• B) \(- \frac { 8 } { 9 }\)
• C) \(- \frac { 9 } { 8 }\)
• D) \(\frac { 9 } { 10 }\)
• E) \(\frac { 9 } { 8 }\)

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Definitions:

Three-Dimensional Array

An array that includes three levels of indices and can be visualized as an array of arrays of arrays.

Second Subscript

In multidimensional arrays, the second subscript refers to the index within the second dimension of the array.

Rank

Rank often refers to the position or level of something or someone in a particular order or hierarchy.

Mathematical N-Tuples

An ordered list of n elements, where n can be any non-negative integer, used in mathematics to represent fixed-length sequences.