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alexandr1967 [171]
3 years ago
15

What is the sum of the geometric series 2+6+18+...+486?

Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer:

728

Step-by-step explanation:

2+6+18+...+486

a=2

r=6/2=3

a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728

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Solve for z: yz + 4z = z - y²<br><br><br><br>​
poizon [28]

Answer:

Step-by-step explanation:

yz+4z=z-y²

yz+4z-z=-y²

yz+3z=-y²

z(y+3)=-y²

z=-\frac{y^2}{y+3 }

3 0
2 years ago
Fifteen percent of the cars in a parking lot are green. If there are 45 green cars, how many cars are there in the parking lot?
Olegator [25]
45/x =15/100
Cross multiply
15x=4500
Divide both sides by 15
X=300
300 total cars on parking lot
7 0
2 years ago
36 creates of apples. each creat has 25 kgs of apples. they sell 486,235 games of apples. how many grams are left?
valentinak56 [21]

The grams of apples left is 413765 grams

<h3>How to determine the value</h3>

From the information given, we have that:

  • There are 36 crates of apples
  • Each contains 25 kilograms of apples
  • 486,235 grams of apples were sold

If we have 36 crates, let's determine the the total grams of apples

1 crate = 25 kilograms = 25000 grams

36 crates = x

x = 25000 × 36

x = 900000 grams

The total grams of apple is  900000 grams

The grams left = Total - sold =  900000 - 486,235 = 413765 grams

Thus, the grams of apples left is 413765 grams

Learn more about word problems here:

brainly.com/question/1781657

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8 0
2 years ago
13/19x=130 how do I solve?
Taya2010 [7]
Divide both numbers by 13/90

13/90x = 130
÷13/90   ÷13/90

x= 900
8 0
2 years ago
Read 2 more answers
What is the averge speed of a plane flying 2,184 miles from knoxville tn to los angeles ca in 7 hours
katrin2010 [14]

Answer:

312 mi/hr

Step-by-step explanation:

Distance = 2184 miles

Time taken = 7 hours

Average speed = Distance / time taken

Average speed = 2184 miles / 7 hours

Average speed = 312 miles per hour

Hence, the average speed Traveled by the plane traveling from Knoxville to Los Angeles is 312 miles per hour

5 0
2 years ago
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