Find the Infinite Sum Accurate to Three Decimal Places $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } \left( \frac { 1 } { 4 ^ { n } } \right)$$

question 234

Multiple Choice

Find the infinite sum accurate to three decimal places.
- $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } \left( \frac { 1 } { 4 ^ { n } } \right)$$

• A) 0.800
• B) 0.143
• C) -0.571
• D) 0.200

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Definitions:

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A psychological approach stating that the human mind perceives objects as whole rather than as a sum of its parts.