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Varvara68 [4.7K]
3 years ago
13

Find the exact value of the eighth term of the geometric sequence: 648,216,72,24

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

8th term is 0.30

Step-by-step explanation:

  • Step 1: nth term of a GP = a × r^n-1
  • Step 2: Find r.

⇒ r = a2/a1 = 216/648 = 1/3

  • Step 3: Calculate 8th term. a = 648, r = 1/3 and n = 8

⇒ 8th term =  648 × (1/3)^8-1 = 648 × (1/3)^7 = 648/2187 = 0.30

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The total cost of running a business is based on its expenses
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Answer:

Step-by-step explanation:

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3 years ago
Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roo
svetlana [45]

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\

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3 years ago
Jose surveyed the length of TV commercials (in seconds). Find, to 3 decimal places, the experimental probability that a randomly
Lynna [10]

Answer:

≈0.487

Step-by-step explanation:

I think this is your full question right?

Jose surveyed the length of TV commercials (in seconds). Find, to 3 decimal places, the experimental probability that a randomly chosen TV commercial will last:

Length        Frequency

0-19                   17

20-39               38

40-59                19                    20 to 39 seconds.

60+ 20 to          4

Here is my anwer:

experimental probability = relative frequency = \frac{number of oserved occuerencies}{total number of oserved occuerencies}

Total frequencies = 17 + 38 +18 + 4 = 78

P(20 to 39s) = 38/78 ≈0.487  

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3 years ago
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Answer:

C

Step-by-step explanation:

5 0
3 years ago
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