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lesya [120]
2 years ago
8

Which theorem or postulate proves the

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
8 0

Answer:

AA postulate the two triangles are similar

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Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the  terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

#SPJ1

6 0
2 years ago
(-7) times ? = -14 what are the missing numbers
GaryK [48]

Answer:

2

Step-by-step explanation:

-7 x 2 = -14

3 0
4 years ago
Read 2 more answers
Round each number to the nearest whole number. What is the best estimate for the sum of 317.38 82.21? A. 410 B. 400 C. 399 D. 39
Tcecarenko [31]
B. 400. They sum up to 399.59 which rounds to 400
7 0
3 years ago
Read 2 more answers
Fill in the frequency table
Art [367]
Day: Monday, Tuesday, Wednesday, Thursday, Friday
frequency: 3, 1, 1, 1, 5
Frequency is the repeated number of times so you just need to count how many times a day repeats.
7 0
4 years ago
This is a picture of a cube and the net for the cube.<br> What is the surface area of the cube?
posledela

Answer:

6a²

Step-by-step explanation:

6×5² = 6×25 = 150cm²

thank you

8 0
2 years ago
Read 2 more answers
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