Determine the Convergence or Divergence of the Series $$\sum _ { n = 0 } ^ { \infty } \left( \frac { 1 } { 4 } \right) ^ { n }$$

question 158

Multiple Choice

Determine the convergence or divergence of the series. $$\sum _ { n = 0 } ^ { \infty } \left( \frac { 1 } { 4 } \right) ^ { n }$$

• A) converges
• B) diverges
• C) cannot be determined

---

Definitions:

Random Allocation

A method used in experiments where participants are assigned to different groups in a way that ensures each participant has an equal chance of being placed in any group.

Experimenter Bias

A phenomenon where the expectations or beliefs of the researcher unconsciously affect the outcome of an experiment.

Socially Desirable

Describes behaviors or responses that are likely to be approved of or valued by society or a social group.

Experimental Manipulation

The process of intentionally changing variables to observe the effect on another variable within a controlled environment.