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Zepler [3.9K]
2 years ago
11

determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.17, 14, 11, 8,

Mathematics
1 answer:
MArishka [77]2 years ago
6 0

The common difference of the sequence is -3 and the fifth term is 5

<h3>How to determine the common difference?</h3>

The sequence is given as:

17, 14, 11, 8....

The common difference is

d = T2 - T1

So, we have

d = 14 - 17

Evaluate

d = -3

Hence, the common difference of the sequence is -3

<h3>How to determine the fifth term?</h3>

The fifth term is calculated as:

T5 = a + 4d

Where

a = T1 = 17

d = -3

So, we have:

T5 = 17 - 4 * 3

Evaluate

T5 = 5

Hence, the fifth term is 5

<h3>How to determine the nth term?</h3>

The nth term is calculated as:

Tn = a + (n - 1)d

Hence, the nth term is Tn = a + (n - 1)d

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

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The triangle cannot be made.

Solution:

Given sides of a triangle are 8 ft, 20 ft and 8 ft.

<u>To determine if the triangle can be made:</u>

Let us first define the triangle inequality theorem.

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The sum of the lengths of the any two sides of a triangle is greater than the length of the third side.

Using this theorem, we can determine if the triangle can be made or not.

8 ft + 20 ft = 28 ft > 8 ft

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Answer:

120

Step-by-step explanation:

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A sporting goods company is planning to manufacture a commemorative lacrosse
LiRa [457]

Answer:

Volume of this cylinder = 785.71 Cm³

Surface area of this cylinder​ = 157.14 Cm²

Step-by-step explanation:

Given:

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Radius of cylinder = 10 / 2 = 5 Cm

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Surface area of this cylinder​

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