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k0ka [10]
3 years ago
10

Which drug is NOT considered a hallucinogen?

Advanced Placement (AP)
1 answer:
LenKa [72]3 years ago
4 0
Weed is one of them
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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
Which was a positive effect of the Columbian Exchange for Native American cultures?
lapo4ka [179]
Positive outcomes of the Columbian Exchange include technological advances in farming, architecture, and weaponry.
5 0
2 years ago
Henry bought 4 pies, which he plans to share with a group of his friends. if there is exactly enough to give each member of the
12345 [234]
24 people

since there are 4 pies and each person gets 1/6, then by multiplying 6×4, you get 24
6 0
2 years ago
Which of the following countries was NOT
Furkat [3]
I believe the answer is Vietnam
3 0
3 years ago
APWH
Anna11 [10]

Answer:

The three predominant universalizing religions between the first and twelfth centuries CE were Christianity, Buddhism, and Islam.

Universal religions are religions that attempt to gain conversions from anyone, regardless of race, ethnicity, or geographic area.

3 0
3 years ago
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