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3 years ago

11

ASAP! WILL MARK AS BRAINLIESS!!! What are three important similarities and differences on Malala Yousafzai and Martin Luther Kin

g Jr?

Advanced Placement (AP)

1 answer:

alexandr1967 [171]3 years ago

3 0

They both have/had big parts in civil rights movements.
They advocate for their cause PEACEFULLY.
They both got Nobel Peace Prizes.
Differences:
Malala advocates for women’s rights.
Martin Luther advocated for African-American rights.
Malala is from the UK while Martin is from America.
Hope this helps

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Answer:

$T_{2020} = 15$

Explanation:

Given

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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>

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<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>

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

Substitute $2T_{3} = T_1 + T_2$

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

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

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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>

$T_{n} = T_3$

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

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

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