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Viefleur [7K]
3 years ago
6

Write an explicit rule for the geometric sequence 4, 8, 16, 32, ..

Mathematics
2 answers:
Alina [70]3 years ago
8 0
8÷4=2
16÷8=2
32÷16=2
multiply by 2
Paul [167]3 years ago
5 0
First term:  a(1) = 4; common ratio:  r = 2

Then:

a(n) = 4(2)^(n-1)

Check:  Predict the 4th term using this formula:

a(4) = 4(2)^3 = 4(8) = 32  (correct)
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Please help me with this question
grandymaker [24]

Answer:

18

Step-by-step explanation:

5 0
2 years ago
HELP ASAP!!<br>The equation (blank) has no solution​
KengaRu [80]

Answer:

Just to recap, an equation has no solution when it results in an incorrect "equation".

For  example:

Equation: x+3 = x+4

Subtract x: 3 = 4???

But clearly, 3 is not equal to 4, so this equation has NO SOLUTION.

Now onto our problem:

13y+2-2y = 10y+3-y

11y+2 = 9y+3

2y=1

y=1/2

9(3y+7)-2 = 3(-9y+9)

27y+61 = -27y+27

54y = -34

y = -34/54

32.1y+3.1+2.4y-8.2=34.5y-5.1

34.5-5.1=34.5y-5.1

5.1=5.1

infinite solutions

5(2.2y+3.4) = 5(y-2)+6y

11y+17 = 11y-10

17 = -10??

That's not true, so the option "5(2.2y+3.4) = 5(y-2)+6y" has no solution.

Let me know if this helps

6 0
2 years ago
Calculate the average rate of change over the interval 2
Morgarella [4.7K]

Answer:

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5:        3

y = 3x^2 + 1:     21

y = 3^x:             78

<u />

Step-by-step explanation:

2<= x <= 5

Average rate of change over the interval 2<= x <= 5:

<u>y = 3x + 5</u>

y(5) = 3(5) + 5 = 20

y(2) = 3(2) + 5 = 11

Average rate of change = (20 - 11)/(5-2) = 9/3 = <u>3</u>

<u />

<u>y = 3x^2 + 1</u>

y(5) = 3(5^2) + 1 = 75 + 1 = 76

y(2) = 3(2^2) + 1= 13

Average rate of change = (76 - 13)/(5-2) = 63/3 = <u>21</u>

<u />

<u>y = 3^x</u>

y(5) = 3^5 = 243

y(2) = 3^2 =9

Average rate of change = (243-9)/(5-2) = 234/3 =<u> 78</u>

8 0
2 years ago
Distribute. -3(-2x - 1)
ANTONII [103]

I believe the answer should be 6x+3

6 0
3 years ago
Read 2 more answers
Evaluate y = 9 * (5/2)^x for x = -3.
dem82 [27]
You can find your answer by just substituting -3 for x......
6 0
3 years ago
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