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2 years ago

Use geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27

Mathematics

1 answer:

Darya [45]2 years ago

3 0

Answer:

Step-by-step explanation:

First, use the equation for geometric mean; an=a1r^n-1

*where is an is the number at an n term, r is the ratio and a1 is the first number of the sequence.*

12 = a1 r^5

27 = a1r^7

From the equations above,

a1 = 128/81

r = 3/2

Therefore, the 7th term is:

an = (128/81) (3/2)^6

an = 18

hope this helps :)

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Mario is walking away from a motion detector at a rate of 1.5 feet per second. He started recording his distance from the motion

kipiarov [429]

Answer:

6 seconds

Step-by-step explanation:

Initial distance of Mario from motion detector = 2 ft

Speed of Mario = 1.5 ft/sec

Total distance of Mario from motion detector = 11 ft

Total distance moved by Mario while walking at the rate of 1.5 ft/sec = 11 - 2 = 9 ft

Given that:

Distance = 9 ft

Speed = 1.5 ft/sec

Formula:

$Distance = Speed \times Time$

$\Rightarrow 9 =1.5 \times Time\\\Rightarrow Time = \dfrac{9}{1.5}\\\Rightarrow Time = \bold{6\ sec}$

So, at 6 seconds, Mario will be 11 ft from the motion detector.

6 0

2 years ago

Help me with this question

Ivan

B is the answer because none of the others will be right and b is the one you should always do when to solve a rea word problem

8 0

2 years ago

Please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.

timama [110]

The solution of the equation is $x=\frac{11}{7}$

Step-by-step explanation:

To simplify an equation of x

Simplify each side of the equation
Collect x in side and the numerical terms in the other side
Find the value of x

∵ The equation is $2x + \frac{1-x}{4}=3$

- Multiply all terms of the equation by 4 to cancel the denominator

of the 2nd term in the left hand side

∵ The equation is $4(2x) +4 (\frac{1-x}{4})=4(3)$

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ $x=\frac{11}{7}$

The solution of the equation is $x=\frac{11}{7}$

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11306893

#LearnwithBrainly

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2 years ago

The plus minus of a player for the first forty games of the season is listed below. A plus when is your team scored more

Tamiku [17]

Answer:

take the population mean divided by four

Step-by-step explanation:

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2 years ago

N is an integer. Write the values of n such that -15 < 3 ≤ 6 Help please ❤️❤️

Alex17521 [72]

Answer:

-4,-3,-2,-1,0,1

Step-by-step explanation:

First, doublepound and simplify it.

-15<3n

3n<6

Solve:

-5<n

n<2

Compound:

-5<n<2.

So the values are -4,-3,-2,-1,0,1

Hope this helps plz hit the crown :D

8 0

2 years ago

Read 2 more answers