Answer:
Explanation:
Given
Each term after the second term is the average of all of the preceding terms
Required:
Explain how to solve the 2020th term
Solve the 2020th term
Solving the 2020th term of a sequence using conventional method may be a little bit difficult but in questions like this, it's not.
The very first thing to do is to solve for the third term;
The value of the third term is the value of every other term after the second term of the sequence; So, what I'll do is that I'll assign the value of the third term to the 2020th term
<em>This is proved as follows;</em>
From the question, we have that "..... each term after the second term is the average of all of the preceding terms", in other words the MEAN
<em>Assume n = 3</em>
<em>Multiply both sides by 2</em>
<em>Assume n = 4</em>
Substitute
Assume n = 5
Substitute and
<em>Replace 5 with n</em>
<em>(n-1) will definitely cancel out (n-1); So, we're left with</em>
Hence,
Calculating
Recall that
Answer:
John Locke was an English philosopher, economist, and physician of the Enlightenment period. In his views on unwritten natural law as the basis of formal constitutional law, Locke made the social contract the basis of his plea for popular sovereignty, the idea that the monarch or the government should reflect the will of the people. Thus, for Locke, the social contract forms the agreement between the ruler and the people, and it is precisely the limit to the powers and attributions that the ruler has over its citizens.
In the United States, the social contract is embodied in the Constitution, which is the fundamental legal text of the nation that is responsible for recognizing civil rights and limiting the powers of the government.
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