Determine If the Series Converges or Diverges; If the Series $$\sum _ { n = 1 } ^ { \infty } \frac { 7 ^ { n + 1 } } { 10 ^ { n - 1 } }$$

question 3

Multiple Choice

Determine if the series converges or diverges; if the series converges, find its sum.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 7 ^ { n + 1 } } { 10 ^ { n - 1 } }$$

• A) Converges; \(\frac { 700 } { 3 }\)
• B) Converges; \(\frac { 490 } { 3 }\)
• C) Converges; \(\frac { 70 } { 3 }\)
• D) Diverges

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Definitions:

Sample Proportion

Sample proportion refers to the fraction or percentage of the sample that exhibits a particular trait or characteristic of interest.

Population Parameter

A population parameter is a numerically fixed characteristic or measure of an entire population, such as mean or variance.

Standard Normal Distribution

A normal distribution with a mean of zero and a standard deviation of one, used as a reference in statistical analysis.

Confidence Interval

A continuum of figures obtained from a sample's statistics, likely to envelop the value of an unknown population characteristic.