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aalyn [17]
2 years ago
8

The first 4 terms of a geometric sequence are 2, 6, 18, 54. Part A: Find the common ratio. Remember the common ratio is the numb

er that is multiplied to each value to get the next number. Part B: Find the next 3 values in the geometric sequence Come up with your own geometric sequence and identify the common ratio.
Mathematics
1 answer:
ra1l [238]2 years ago
8 0

Answer:

Common ratio is 3

The three terms are 162, 486, 1458

Step-by-step explanation:

Given: The first 4 terms of a sequence are 2,6,18,54

To find:

A. the common ratio

B. the next 3 values in the geometric sequence

Solution:

Geometric sequence is a sequence in which each of the terms is obtained by multiplying the previous term by a fixed number.

A.

\frac{6}{2}=3\\\\\frac{18}{6}=3\\\\\frac{54}{18}=3

So, the common ratio is 3

B.

The next three values are as follows:

54(3)=162\\162(3)=486\\486(3)=1458

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Help plz!!!
lara [203]

Answer with explanation:

→→→Function 1

f(x)= - x²+ 8 x -15

Differentiating once , to obtain Maximum or minimum of the function

f'(x)= - 2 x + 8

Put,f'(x)=0

-2 x+ 8=0

2 x=8

Dividing both sides by , 2, we get

x=4

Double differentiating the function

f"(x)= -2, which is negative.

Showing that function attains maximum at ,x=4.

Now,f(4)=-4²+ 8× 4-15

           = -16 +32 -15

          = -31 +32

          =1

→→→Function 2:

f(x) = −x² + 2 x − 3

Differentiating once , to obtain Maximum or minimum of the function

f'(x)= -2 x +2

Put,f'(x)=0

-2 x +2=0

2 x=2

Dividing both sides by , 2, we get

x=1

Double differentiating the function,gives

f"(x)= -2 ,which is negative.

Showing that function attains maximum at ,x=1.

f(1)= -1²+2 ×1 -3

   = -1 +2 -3

  = -4 +2

 = -2

⇒⇒⇒Function 1  has the larger maximum.

6 0
3 years ago
At a coffee shop, the first 100 customers'
Allisa [31]

Well formatted distribution table is attached below :

Answer:

7%

Step-by-step explanation:

The probability that a customer ordered a small Given that he or she ordered a hot drink ;

This is a conditional probability and will be represented as :

Let :

P(small drink) = P(S)

P(hot drink) = P(H)

Hence, the conditional probability is written as :

P(S|H) = P(SnH) / P(H) = 5 / (5+48+22) = 5/75 = 0.0666 = 0.0666 * 100% = 6.67%

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3 years ago
PLEASE HELP WITH THESE TWO WUESTIONS ILL GIVE BRAINIEST AND GIVE YOU PTS
blondinia [14]
The first one is the same amount of points
4 0
2 years ago
Please lemme know soon, ty
Mrac [35]

Answer:

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3 years ago
PLEASE HELP WILL GIVE BRAINLIEST!
NeX [460]
It has to be B since it shoes both boys and girls.
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Read 2 more answers
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