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Aliun [14]
3 years ago
12

What will be the first negative term in the sequence 87,84,81​

Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

a₃₁

Step-by-step explanation:

The terms have a common difference between consecutive terms, that is

d = 84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

a_{n} = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

To find when a_{n} < 0 , solve

90 - 3n < 0 ( subtract 90 from both sides )

- 3n < - 90

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity, then

n > 30

Thus the 31st term will be the first negative term

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A patient has a twenty-centimeter incision along the abdomen that must have a topical antibiotic ointment applied for every dres
rodikova [14]

Answer:

The amount of medication to be applied is approximately 7.87 inches

Step-by-step explanation:

The given parameters are;

The length of the incision the patient has = 20 cm

The length of the application of the antibiotic = The length of the incision the patient has

∴ The length of the application of the antibiotic = 20 cm

The amount of medication to be applied = 20 cm = 7.874016 inches ≈ 7.87 inches

4 0
3 years ago
Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3 ​
Svetach [21]

9514 1404 393

Answer:

  3

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

  f(x) = ((x -2)x -7)x +5

and ...

  x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3

Then ...

  f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

  = (3+2√3 -7)(2+√3) +5

  = 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5

  f(1/(2 -√3)) = 3

_____

If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.

6 0
2 years ago
Another set of help? i need a hand lol
Zepler [3.9K]

Answer: C=14π≈43.98 ft

Step-by-step explanation:

To find the circumference of the circle, we use the equation C=2πr or C=πd. These 2 equations are equivalent because 2r is the same as d, diameter. In this case, we can use C=πd because the problems already gives us the diameter.

C=πd

C=14π≈43.98 ft

I hope this helps!

5 0
3 years ago
Solve for n <br>n+1 3/5 =3 3/10
RoseWind [281]
The answer is N=17/10
8 0
3 years ago
Pls, help due today!!!!!!!!
kirill115 [55]

Answer:

it 6 because I said so you can't be alone 3PM if you get your school work done in your sleep all the 378feet and I have to eat a

7 0
3 years ago
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