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adelina 88 [10]
2 years ago
6

Please help and thank you

Mathematics
1 answer:
Pani-rosa [81]2 years ago
3 0

Answer:

I think its 368.28 cubic inches

Step-by-step explanation:

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Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum
const2013 [10]

Answer:  The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

S=\sum_{i=1}^{\infty}15(4)^{i-1}.

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, \sum_{i=1}^{\infty}a_i is an infinite series, with complex coefficients a_i and we consider the following limit:

L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.

Then, the series will be convergent if  L < 1 and divergent if  L > 1.

For the given series, we have

a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.

So, the limit is given by

L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0
3 years ago
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I need answers please help
Airida [17]

You take 720 and divide by 4 for the 4 weeks. Then you divide by 6 for each of the day and then you reach your answer.

6 0
2 years ago
WILL MARK BRAINLEIST please give me a good summary of the Pythagorean Theorem
Rudik [331]

Answer:

The Pythagorean Theorem is a statement about triangles containing a right angle. The Pythagorean Theorem states that: "The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides."

Step-by-step explanation:

6 0
3 years ago
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At a store, 2 gallons of milk cost $6. Which is the value of the ratio of dollars to gallons of milk?
Nataliya [291]
1 gallon = $3 so the ratio would be 1:3 where 1 would represent the gallon and 3 the price
3 0
3 years ago
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1. What is 26% written as a decimal?
sattari [20]

Answer:

.26 = 26%     hope this helps!   :)

Step-by-step explanation:

.26

100 = 1.00

26 = .26

you just move the decimal point over 2

5 0
3 years ago
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