Find the Sum of the Series, If Possible $$8 + 2 + \frac { 1 } { 2 } + \frac { 1 } { 8 } + \ldots$$

question 25

Multiple Choice

Find the sum of the series, if possible.
- $$8 + 2 + \frac { 1 } { 2 } + \frac { 1 } { 8 } + \ldots$$

• A) \(\frac { 32 } { 3 }\)
• B) \(\frac { 119 } { 10 }\)
• C) \(\frac { 117 } { 10 }\)
• D) \(\frac { 51 } { 5 }\)

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Definitions:

Systematic Sampling

A method of sampling where every nth item in the target population is selected systematically for inclusion in the sample.

Standard Error

A statistical term that describes the standard deviation of the sampling distribution of a statistic, commonly used to measure the accuracy of sample means.

Snowball Sampling

A sampling technique where current study participants recruit future participants from among their acquaintances.

Stratified Random Sampling

A sampling method that divides the population into subgroups or strata, and random samples are taken from each stratum to ensure representation.