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Inessa [10]
3 years ago
10

Find the 14th term of the geometric sequence 6, -18,54, ...

Mathematics
2 answers:
andrey2020 [161]3 years ago
8 0

Step-by-step explanation:

first term (t1) = 6 (a)

Second term (t2) = - 18

Common ratio (r) = t2/ t1 = - 18 / 6 = -3

Now

14th term (t14)

=

a {r}^{14 - 1}

6 \times ( - 3)^{13}

= 6 X - 1594323

= 9565938

mafiozo [28]3 years ago
4 0

Answer:

- 9565938

Step-by-step explanation:

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Can someone help me with number five ???
exis [7]
Hey there! This is gonna actually be surprisingly simple even though it looks confusing!

Since the scale is perfectly balanced (it's completely flat because the weights are equal) you can use an = sign.

There are 3 cubes which weigh 9 ounces so 3 times 9 is 27 so on the left side you can put down a 27. Then there are 7 circles so so 7x can represent this. So that belongs on the left side as well SO for the left sides we can write this
27 + 7x = _______

Now for the right side. There are 5 cubes so 5 times 9 ounces is 45 so that belongs on the left. And then there is one cube so we can just right x. SO for the right side (combined with the other parts we know looks like this.
27 + 7x = 45 + x

NOW for the solving!
<span>27 + 7x = 45 + x
</span>subtract x from both sides
27 + 6x = 45
subtract 27 from both sides
6x = 18
then divide 6 from both sides
x = 3

So the circles are 3 ounces!!!!

I hope that helps! And feel free to ask me any questions!!

- mathwizzard3
5 0
3 years ago
Jane dropped Kinsley off at a train station and left at the same time that Kinsley's train departed. They are moving in the exac
Shkiper50 [21]

The after 29 minutes 38 seconds, Jane and Kinsley will be 47 miles apart if they are moving in the exact opposite directions.

<h3>What is distance?</h3>

A numerical representation of the distance between two items or locations called distance. A physical length or an approximation based on other considerations in physics or common usage can be referred to as distance.

Let's suppose the at time t they are 47 miles apart.

We know, distance = speed×time

(44+51)t = 47

t = 47/95

t = 0.494 hours

t = 29 minutes 38 seconds

Thus, the after 29 minutes 38 seconds, Jane and Kinsley will be 47 miles apart if they are moving in the exact opposite directions.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

7 0
2 years ago
What is the equation for r
Cloud [144]

V = lhr

V ÷ lh = lhr ÷ lh

V/lh = r

r = V/lh

Just divide both sides by what you want removed, leaving behind r.

6 0
3 years ago
A shoe store marks up is merchandise by 8%. what was the selling price of a shoe whose whole price is $24.50?
Serjik [45]

Final price = whole sale price+ 8% whole sale price   24.50 +(8/100 × 24.50) 24.50 + 196=$ 26.46

8 0
3 years ago
A home improvement store normally sells 20-foot extension ladders for $225. This week the ladders are discounted by 20%. What is
Fantom [35]

Answer:

The answer is 180

Step-by-step explanation:

So to start off you have to turn 20% into a decimal and that is .20.

Next  you need to mutiply 225 and .20 and you will get 45 (that means it is $45 off)

Subtract 45 fro 225 and that is your answer.

You now pay $180 for the 20 foot extension ladder.

5 0
3 years ago
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