Determine Whether the Given Series Converges or Diverges $$\sum _ { n = 0 } ^ { \infty } \frac { 9 ^ { n } + 8 ^ { n } } { 12 ^ { n } }$$

question 26

Short Answer

Determine whether the given series converges or diverges. If it converges, find its sum.
$$\sum _ { n = 0 } ^ { \infty } \frac { 9 ^ { n } + 8 ^ { n } } { 12 ^ { n } }$$

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Definitions:

Variability

describes the extent to which data points in a dataset differ from each other and from the average value.

Measurement Error

The difference between a measured value and the true value, owing to inaccuracies in data collection or interpretation.

Variability

The extent to which data points in a dataset differ from each other and from their average value, indicating the spread or dispersion in the dataset.

True Score

In psychometrics, the actual score that accurately reflects the tested variable or trait in the absence of measurement errors.