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horsena [70]
3 years ago
5

Write an explicit formula for the arithmetic sequence 15.6, 15, 14.4, 13.8,..., and then find the 32nd term.

Mathematics
1 answer:
uysha [10]3 years ago
5 0

Answer: the 32nd term is - 3

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 15.6

d = 15 - 15.6 = 14.4 - 15 = - 0.6

n = 32

The explicit formula for the arithmetic sequence is

Tn = 15.6 - 0.6(n - 1)

We want to determine the value of the 32nd term, T32. Therefore,

T32= 15.6 - 0.6 (32 - 1)

T32 = 15.6 - 18.6

T32 = - 3

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Any smooth curve connecting two points is called an arc. The correct option is c.

<h3>What is the Length of an Arc?</h3>

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}

where

θ is the angle, that arc creates at the centre of the circle in degree.

If the central angle has a measure of π/2(90°), then the length of the arc will be one-fourth of the total, while if the measure of the angle is π(180°), then the length of the arc will be half of the total.

Similarly, if the measure of the angle is 3π/4, then the length of the arc will be three-fourth of the total, while if the measure of the angle is 2π(360°), then the length of the arc will be 2πr.

Hence, the correct option is c.

Learn more about the Length of an Arc:

brainly.com/question/1577784

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5 0
2 years ago
a new flagpole needs to be 54ft high and the old flagpole is 15m high, how many meters taller does the new flag need to be? roun
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7 0
3 years ago
What is the positive difference between -8. and 9​
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Answer:

1

Step-by-step explanation:

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Hope that this is helpful.

Have a nice day.

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Alex

hey mate here is you answer..! ;)

Answer:

x = 3/2

Step-by-step explanation:

38x = 10x + 42

=>38x - 10x = 42

=>28x = 42

=>x = 3/2


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