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3 years ago

What is the formula for the sum of an infinite geometric series

1 answer:

algol133 years ago

3 0

An infinite geometric series is the sum of an infinite geometric sequence . This series would have no last term. The general form of the infinite geometric series is a1+a1r+a1r2+a1r3+... , where a1 is the first term and r is the common ratio. We can find the sum of all finite geometric series.

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1, In a class of 80 students in Debreberhan University, 45 are good in mathematics, 15 are good in both mathematics and in Engli

Aleks [24]

Treating the data as a Venn set, it is found that:

26 students are good in mathematics only.

28 students are not good in any of the three courses.

---------------------------------

I am going to say that:

A is the number of students good in Math.
B is the number of students good in English.
C is the number of students good in Psychology.

---------------------------------

9 are good in all of the three courses.

This means that: $A \cap B \cap C = 9$

---------------------------------

13 are good in both mathematics and psychology

This means that:

$(A \cap C) + (A \cap B \cap C) = 13$

$(A \cap C) + 9 = 13$

$(A \cap C) = 4$

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15 are good in both mathematics and in English

This means that:

$(A \cap B) + (A \cap B \cap C) = 15$

$(A \cap B) + 9 = 15$

$(A \cap B) = 6$

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16 are good in both English and psychology

This means that:

$(B \cap C) + (A \cap B \cap C) = 16$

$(B \cap C) + 9 = 16$

$(B \cap C) = 7$

---------------------------------

20 are good in psychology

This means that:

$c + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 20$

$c + 4 + 7 + 9 = 20$

$c = 0$

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45 are good in mathematics

This means that:

$a + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 45$

$a + 6 + 4 + 9 = 45$

$a = 26$

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Question a:

$a = 26$ , which means that 26 students are good in mathematics only.

---------------------------------

Question b:

At least one is:

$a + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 26 + 6 + 4 + 7 + 9 = 52$

Thus, 80 - 52 = 28

28 students are not good in any of the three courses.

A similar problem is given at: brainly.com/question/22003843

4 0

3 years ago

there are 25 students in mrs. venetozzi’s class at the beginning of the school year, and the average number of siblings for each

kompoz [17]

So, at the beginning there are a total of 25*3=75 siblings (we can assume that each of them had exactly 3 siblings, that's what average means; that we can assume this).

Now we have 25+1=26 students and the number of siblings is 75+8=83

and the average is $\frac{83}{26}= 3.192$ , and rounded it's 3.19.

5 0

3 years ago

Please help please help please help

Nataly_w [17]

Answer:

I wish you good luck ok sorry if i am no good help

Step-by-step explanation:

7 0

3 years ago

A. How far is the spot on the beach from the parking lot?

Afina-wow [57]

The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.

a. The answer would be sqrt(18*32)=24

The question to the second question can be answered by using the Pythagorean theorem.

32^2+24^2=1600=40^2

b. The answer would be sqrt40^2=40

7 0

3 years ago

A city has an elevation of -17 meters closer to sea level than a city that has an elevation of -40 meters. Agree or Disagree? Wh

abruzzese [7]

I agree because if your answer is in a negative that means, the number that is closer to zero is the greater number, ex: -23>-56.

6 0

3 years ago

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