Use the Principle of Mathematical Induction to Show That the Statement

question 105

Essay

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
- $$3 + 3 \cdot \frac { 1 } { 7 } + 3 \cdot \left( \frac { 1 } { 7 } \right) ^ { 2 } + \ldots + 3 \cdot \left( \frac { 1 } { 7 } \right) ^ { n - 1 } = \frac { 3 \left( 1 - \left( \frac { 1 } { 7 } \right) ^ { n } \right) } { 1 - \frac { 1 } { 7 } }$$

Comprehend the transmission probability of autosomal dominant traits.

Understand the basic concepts and terminology related to embryonic development.

Gain knowledge about the process and significance of cell differentiation during development.

Comprehend the mechanisms underlying the formation of different body systems from germ layers.

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Definitions:

Semipermeable Membrane

A membrane that allows the passage of certain molecules or ions but restricts others, crucial in processes like osmosis.

High Temperatures

Conditions involving elevated temperatures, often influencing chemical reactions or physical states of matter.

Activation Energy

The minimum amount of energy required to initiate a chemical reaction.

Endergonic

A chemical reaction in which the standard change in free energy is positive, and energy is absorbed from the surroundings.