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pshichka [43]
3 years ago
11

Find the 3rd term in geometric sequence whose first term is -8 and whose common ratio is 6

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0

Answer:

-288

Step-by-step explanation:

Geometric Sequence is the sequence in which every digit is the same multiplier of its previous digit.

The formula of Geometric Sequence is: a_{n} = a_{1}(r)^{n-1}

Here we have given that, a₁ = -8, r = 6

So, for finding the 3rd term, n = 3

∵ a_{n} = a_{1}(r)^{n-1}

∴ a_{3} = -8(6)^{3-1}

⇒ a₃ = -8 × 36 = -288

Thus, third term is -288.

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Simplify by combining like terms:​
Romashka [77]

9514 1404 393

Answer:

  -77k²m³

Step-by-step explanation:

The variable arrangement is the same for each term, so we simply combine their coefficients:

  k²m³ +22k²m³ -100k²m³ = (1 +22 -100)k²m³ = -77k²m³

5 0
3 years ago
What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundr
Nuetrik [128]
32+54=86-10=76-25= 51
4 0
3 years ago
In a certain triangle, the measure of the largest angle is 20 degrees more than twice the measure of the smallest angle. Five ti
romanna [79]
Let the medium angle be B degrees the small angle be A degrees the large angle be C degrees Then C = 2 B + 20 ..................X 5 B = A + C ..................Y Sum of all angles A + B + C = 180 .............Z Applying Y in Z 5 B + B = 180 6 B = 180 B = 30 From X C = 2 x 30 + 20 = 60 + 20 = 80 From Y 5 x 30 = A + 80 150 = A + 80 150 - 80 = A = 70 Hence medium angle B = 30 degrees the small angle A = 70 degrees the large angle C = 80 degrees
3 0
3 years ago
How many meters tall is the statue of liberty if it is thirty times the height of a 154 centimeter person?
Reptile [31]
The question states that the Statue of Liberty is 30 times the height of a 154 centimeter person and asks how many meters tall the <span>the Statue of Liberty is.
This is basically asking us to find 30 times 154 centimeters and convert it to meters.

30 • 154 = 4620
This tells us that the </span>Statue of Liberty is 4,620 centimeters (cm) tall.

Now we must convert 4,620 cm to meters (m).
There are 100 cm in 1 m.
This means 100 cm = 1 m.
That means that meters are 100 times larger than centimeters.
With this in mind, we can divide the number of cm by 100 to convert it to m.

4,620 ÷ 100 = 46.2
That means that 4,620 cm is equal to 46.2 m.

The final answer:
If the Statue of Liberty is 30 times taller than 154 centimeters, then the Statue of Liberty is 46.2 meters tall.
So the answer is 46.2 meters.

Hope this helps!
8 0
3 years ago
Read 2 more answers
Ill give brainliest to someone who answers first
Mars2501 [29]

It is 28 pounds. This is because all of the others have a ratio of 4:1 while 28 and 5.5 have a ratio of 56:13.


6 0
3 years ago
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