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Artemon [7]
2 years ago
15

Can anyone help me with my homework?

Mathematics
1 answer:
Paha777 [63]2 years ago
8 0
This is it explain fun

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Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
6 0
3 years ago
You have torn a tendon and are facing surgery to repair it. the surgeon explains the risks to you: the probability of infection
skad [1K]
P(most favorable outcome) = 1 -(0.03 +0.16 -0.01) = 0.82

_____
"repair fails" includes the "infection and failure" case, as does "infection". By adding the probability of "repair fails" and "infection", we count the "infection and failure" case twice. So, we have to subtract the probability of "infection and failure" from the sum of "repaire fails" and "infection" in order to count each bad outcome only once.

The probability of a good outcome is the complement of the probability of a bad outcome.
5 0
3 years ago
Pleasee help meeee guysss help
Llana [10]

Answer:

A is the true answer and others are wrong

6 0
2 years ago
HEEEEEEEEEEEEELLLLLLLLLLPPPPPPPPPP
Vika [28.1K]
The answer is B, 5/6, because when you multiply 4 by 5 it is 20, and when you multiply 5 by 6, you get 30, so 20/30. And, 20/30=2/3. I hope I answered your question!
4 0
3 years ago
Can someone help please ​
Tanya [424]

half of the triangle is a right angle triangle, so we use the phythagoras theorem and multipy our answer by 2

6 0
3 years ago
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