1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵ = 1 + <em>i</em> + <em>i</em> ² (1 + <em>i</em> + <em>i </em>² + <em>i</em> ³)
… = 1 + <em>i </em>+ <em>i</em> ² (1 + <em>i</em> + <em>i</em> ² (1 + <em>i</em> ))
… = 1 + <em>i</em> + (-1) (1 + <em>i</em> + (-1) (1 + <em>i</em> ))
… = 1 + <em>i</em> + (-1) (1 + <em>i</em> - 1 - <em>i</em> )
… = 1 + <em>i</em>
<em />
Alternatively, notice that
1 - <em>i</em> ⁶ = (1 - <em>i</em> ) (1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵)
so that
1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵ = (1 - <em>i</em> ⁶) / (1 - <em>i</em> )
Now, <em>i</em> ⁶ = (<em>i</em> ²)³ = (-1)³ = -1, so
1 + <em>i</em> + <em>i</em> ² + <em>i</em> ³ + <em>i</em> ⁴ + <em>i</em> ⁵ = (1 - (-1)) / (1 - <em>i</em> )
… = 2 / (1 - <em>i</em> )
Multiply the numerator and denominator by the conjugate of 1 - <em>i</em> :
… = 2 (1 + <em>i</em> ) / ((1 - <em>i</em> ) (1 + <em>i</em> ))
… = 2 (1 + <em>i</em> ) / (1² - <em>i</em> ²)
… = 2 (1 + <em>i</em> ) / (1 + 1)
… = 1 + <em>i</em>
England is known for their monarchial system of government. Patrick Henry use persuasive language in the passage when;
- He appeals to emotion by asserting that his proposal is the only way to avoid enslavement by the British monarchy.
- He appeals to logic by asking his audience to look back at history for evidence of how the British government is likely to act towards them in the future.
The classical argument is known to consist of different parts. The order are;
- Exordium: This is the introduction, opening, or hook
- Narratio: This is known as the context or background of the topic
- Proposito and Partitio: This is known as the claim or the argument etc.
In the passage, Henry engages his audience by paying them respect. He acknowledge, recognizes and praise the patriotism and abilities of the other members of the Convention.
Learn more about this Passage from
brainly.com/question/11993288
Answer:
The answer is based off of the second paragraph of the 2nd source:
One development that was vital to the principle of equality was the American and French revolutionaries not conforming to traditional ways of life. For example, the revolutionaries expanded the “whole horizon of age.” This allowed more people to conform to their own agendas and not be suffocated by the “royal charisma.”
Explanation:
I am pretty sure this will give you the general idea of one of the actions took by revolutionaries to allow some form of equality. I would suggest putting this general statement into your own words to avoid any issues just in case my answer isn't sufficient :)
