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patriot [66]
3 years ago
9

According to jefferson, who had the right to crest a government

Advanced Placement (AP)
1 answer:
Misha Larkins [42]3 years ago
3 0

the people had a right to create a government. If the government does not serve the people, then they can create a new government

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Explain in detail, how you solved the following problem: The first two terms of a sequence are 10 and 20. If each term after the
KIM [24]

Answer:

T_{2020} = 15

Explanation:

Given

T_1 = 10

T_2 = 20

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

T_{n} = \frac{\sum T{k}}{n-1} ; where: k = 1 .... n -1

<em>Assume n = 3</em>

T_{3} = \frac{T_1 + T_2}{2}

<em>Multiply both sides by 2</em>

2 * T_{3} = \frac{T_1 + T_2}{2} * 2

2T_{3} = T_1 + T_2

<em>Assume n = 4</em>

T_{4} = \frac{T_1 + T_2 + T_3}{3}

T_{4} = \frac{(T_1 + T_2) + T_3}{3}

Substitute 2T_{3} = T_1 + T_2

T_{4} = \frac{2T_3 + T_3}{3}

T_{4} = \frac{3T_3}{3}

T_{4} = T_3

Assume n = 5

T_{5} = \frac{T_1 + T_2 + T_3 +T_4}{4}

T_{5} = \frac{(T_1 + T_2) + T_3 +(T_4)}{4}

Substitute 2T_{3} = T_1 + T_2 and T_{4} = T_3

T_{5} = \frac{2T_3 + T_3 +T_3}{4}

T_{5} = \frac{4T_3}{4}

T_{5} = \frac{(5-1)T_3}{5-1}

<em>Replace 5 with n</em>

T_{n} = \frac{(n-1)T_3}{n-1}

<em>(n-1) will definitely cancel out (n-1); So, we're left with</em>

T_{n} = T_3

Hence,

T_{2020} = T_3

Calculating T_3

T_{3} = \frac{10 + 20}{2}

T_{3} = \frac{30}{2}

T_{3} = 15

Recall that T_{2020} = T_3

T_{2020} = 15

3 0
3 years ago
What was one important academic skill the blogger learned?
Angelina_Jolie [31]

Answer:

An academic skill that the blogger learned, was to review the graded tests and quizzes to see which concepts he missed out on so that in the future he would be well prepared for it. Reviewing and comparing the tests and quizzes would give him an idea on which topics he needs to study.

Explanation:

3 0
3 years ago
What is the process called when the ocean floor sinks into the mantle
Vedmedyk [2.9K]

Answer:

The Process of Subduction

Explanation:

The Process of Subduction

¨The process by which ocean floor sinks beneath a deep-ocean trench and back into the mantle is called subduction. As subduction occurs the  crust closer to a mid-ocean ridge moves away from the ridge and toward a deep-ocean trench.¨

3 0
3 years ago
3 squared x 4 squared
Sergeeva-Olga [200]

Answer:

3 squared x 4 squared = 144

7 0
2 years ago
Refer to the passage.
Natali5045456 [20]

Answer:

I need points sorry

Explanation:

The answer

3 0
3 years ago
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