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Delvig [45]
3 years ago
9

What is the 31st term in the sequence 204,200,196

Mathematics
1 answer:
inysia [295]3 years ago
5 0

Answer:

a(31) = 84

Step-by-step explanation:

The first term, a(1) is 204, and the common difference is 4.  That is, each new term is 4 less than the previous term.

The rule governing this arithmetic sequence is

a(n) = 204 - 4(n - 1)

and so the 31st term is

a(31) = 204 - 4(30) = 84

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Answer:

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Step-by-step explanation:

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Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

In this particular case  a =  b  =  25 feet then

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d  = √ 2 * (25)²

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b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

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Answer:

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