Find the Sum of the Infinite Series $$\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 10 } \right) ^ { i }$$

question 47

Multiple Choice

Find the sum of the infinite series.​ $$\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 10 } \right) ^ { i }$$ ​

• A) \(\frac { 2 } { 9 }\) ​
• B) \(\frac { 9 k } { 2 }\) ​
• C) \(\frac { 9 } { 2 }\) ​
• D) \(- \frac { 2 k } { 9 }\) ​
• E) \(\frac { 2 k } { 9 }\) ​

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Definitions:

Reward System

Areas of the limbic system associated with motivations to seek resources critical to individual and species survival, such as food, shelter, and sex.

Primary Sex Organs

The main organs directly involved in reproduction, such as the ovaries in females and testes in males.

Breast Bud

A breast bud is the initial lump that appears under the nipple as the first sign of puberty in girls, indicating the beginning of breast development.