Write the First Five Terms of the Sequence of Partial $$5 + \frac { 5 } { 4 } + \frac { 5 } { 9 } + \frac { 5 } { 16 } + \frac { 5 } { 25 } + \cdots$$

question 110

Multiple Choice

Write the first five terms of the sequence of partial sums. $$5 + \frac { 5 } { 4 } + \frac { 5 } { 9 } + \frac { 5 } { 16 } + \frac { 5 } { 25 } + \cdots$$

• A) \(5 , \frac { 5 } { 4 } , \frac { 5 } { 9 } , \frac { 5 } { 16 } , \frac { 1 } { 5 }\)
• B) \(5 , \frac { 5 } { 2 } , \frac { 225 } { 32 } , \frac { 250 } { 33 } , \frac { 525 } { 64 }\)
• C) \(5 , \frac { 25 } { 6 } , \frac { 245 } { 32 } , \frac { 1025 } { 132 } , \frac { 5269 } { 640 }\)
• D) \(5 , \frac { 35 } { 4 } , \frac { 275 } { 36 } , \frac { 1075 } { 144 } , \frac { 265 } { 36 }\)
• E) \(5 , \frac { 25 } { 4 } , \frac { 245 } { 36 } , \frac { 1025 } { 144 } , \frac { 5269 } { 720 }\)

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Definitions:

Research Design

The framework or strategy for a study that guides the collection and analysis of data to address research questions effectively.

Tested

The process of evaluating skills, performance, reliability, or quality by administering a series of questions or activities under controlled conditions.

Equivalent Samples

Groups in a study or experiment that are made as similar as possible to ensure that results are due to the variable being tested rather than pre-existing differences among participants.

Cross-sectional

A research design that analyzes data from a population, or a representative subset, at a specific point in time.