Use the Integral Test to Determine Whether the Infinite Series $\sum _ { k = 1 } ^ { \infty } \frac { 5 k ^ { 2 } + 1 } { 2 k ^ { 3 } - 1 }$

question 56

Short Answer

Use the integral test to determine whether the infinite series $\sum _ { k = 1 } ^ { \infty } \frac { 5 k ^ { 2 } + 1 } { 2 k ^ { 3 } - 1 }$ is convergent or divergent.
Enter just "convergent" or "divergent".

Appreciate the role of attention and selective attention in encoding information into memory.

Understand the components of memory and the information-processing approach to child development.

Recognize the significance of automaticity and its role in the cognitive process.

Grasp the fundamental attributes that have a significant influence on memory and problem solving.

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Definitions:

Level of Significance

The probability of rejecting the null hypothesis when it is actually true, used as a criterion for deciding the outcome of a statistical test.

T-statistic

A type of statistic used in hypothesis testing, particularly in situations dealing with small sample sizes or unknown standard deviations, to determine if there is a significant difference between two sets of data.

Null

Often refers to a value of zero in various contexts, such as null pointers in programming or null hypotheses in statistics.

Alpha

A threshold level used in statistics to determine the significance of results, often set at 0.05 or 5%.