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 

Rods and cones convert light to neural signals which the nervous system can use. ... The 100 million rods are locates in the retina away from the fovea, so they carry out peripheral vision ("side" vision towards the edge of the visual field). Figure 6 shows the distribution of rods and cones on the retina.
The easiest way to find such limits, where there is a numerator and a denominator is to apply <span><span>Hospital's Rule.
1st find the derivative of the numerator and the derivative of the denominator, if it still gives an indeterminate value, find the second derivative of N and D
3) lim sin(2x)/x when x →0
Derivative sin2x → 2cos2x
Derivative x→ 1
2cos2x/1 when x→0 , 2cos2x → 2
and lim sin(2x)/x when x →0 is 2
4) lim(sinx)/(2x²-x)
→cosx/(2x-1) when x →0 cosx/(2x-1) = -1
and lim(sinx)/(2x²-x) when x →0 is -1
and so on and so forth. Try to continue following the same principle
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The correct answer to this open question is the following.
You do not include any reference to what argument, text, or paper written by James Madison, because he wrote many as part of the authors of the Federalists papers.
However, probably you are referring to "Federalist N.-10." If this is the case, then the correct answer is the following.
Madison used the comparison to bolster his argument in that he compares two forms of government: Republic and Pure Democracy. In that comparison, James Madison says that the wrongdoings and failures of Pure Democracy represent the benefits of a Republic. So he tries to promote the idea of a Republic as the new form of government for the new nation.