Use Mathematical Induction to Prove the Following for Every Positive $n$

question 22

Essay

Use mathematical induction to prove the following for every positive integer $n$ .
$$\sum _ { i = 1 } ^ { n } 96 i ^ { 5 } = 8 n ^ { 2 } ( n + 1 ) ^ { 2 } \left( 2 n ^ { 2 } + 2 n - 1 \right)$$

Understand the financial implications of HR practices, including ROI.

Comprehend the foundational reasons for the establishment of HR departments.

Learn effectiveness measures for HR and their link to organizational survival.

Acquire knowledge on various HR measurement and benchmarking techniques and their impact on management practices.

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Definitions:

One-sample T Test

A statistical evaluation designed to ascertain if there's a significant difference between the mean of a single sample and a known or assumed mean of a population.

Subjects

Individuals or entities that are observed or experimented upon in scientific or research studies.

Similar

Having characteristics in common or resembling each other, without being exactly the same.

Simple Random Sample

A group within a larger statistical population where every individual has the same chance of selection.