Use Mathematical Induction to Prove That the Statement Is True $$0.63 ^ { n } < 0.63 ^ { n - 1 }$$

question 163

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- $$0.63 ^ { n } < 0.63 ^ { n - 1 }$$

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Definitions:

α-Amylase

An enzyme that breaks down starches into sugars and is found in saliva and pancreatic fluid, aiding in the digestive process.

Gibberellin

A plant hormone that promotes growth and influences various developmental processes, including stem elongation, germination, and flowering.

Senescence

The process of aging where cells lose the ability to divide, grow, and function, leading to the eventual death of the cell.

Cytokinin

A class of plant hormones that promote cell division and growth, and are involved in aging, nutrient processing, and other physiological processes.