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patriot [66]
3 years ago
7

Write an equation for the nth term of each geometric sequence. (show work)

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0
1) 4n

The arithmetic sequence is going up in 4’s (1 x 4 = 4, 4 x 4 = 16)
Therefore the answer is just 4n

2) 0.5n (1/2n)
The arithmetic sequence is going up in 0.5’s (1 x 0.5 = 1/2, 1/2 x 0.5 = 1/4)
Therefore the answer is just 0.5n or if you need it in a fraction it is (1/2n)

3) -7n
The arithmetic sequence is going up in -7’s (7 x -7 = -14, -14 x -7 = 28)
Therefore the answer is just -7n
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Simplify -7(-4p+1) + 2p
mariarad [96]

Step-by-step explanation:

-7(-4p+1) + 2p

-7 x -4 = 28p

-7 x 1 = -7

28p + 2p = 30p

so

30p-7

8 0
3 years ago
If f(x)=X-3/x and g(x) = 5x – 4, what is the domain of (fog)(x)?<br><br><br> NEED HELP FAST!!
dedylja [7]

Answer:

Step-by-step explanation:

This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:

f(g(x))=\frac{5x-4-3}{5x-4} and that can be simplified down to

f(g(x))=\frac{5x-7}{5x-4}

The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:

5x - 4 = 0 so

5x = 4 and

x = 4/5

In other words, D = {x | x ≠ 4/5}

6 0
3 years ago
Mitchell buys a $1,400 dryer with an installment plan that requires 17% down. How much is the down payment?
Hunter-Best [27]

The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Given:

Total cost of dryer = $1,400

down payment percentage = 17%

<em>Amount paid for down payment</em> = 17% of $1,400

= 17/100 × 1400

= 0.17 × 1400

= $238

Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Learn more about percentage:

brainly.com/question/2236179

7 0
3 years ago
Please help.<br> A<br> B<br> C<br> D
s344n2d4d5 [400]

Answer:

A. t(x) = 450 - 0.06x

Step-by-step explanation:

The layer which is originally 450 m thick is decreasing by 0.06 m.

450 - 0.06

... per day. x represents days.

0.06x

So,

450 - 0.06x

6 0
3 years ago
You buy a used car for $10,000. The value of the car decreases by22% each year. Approximately how much is the car worth in 3 yea
IRINA_888 [86]

Answer:

The value will be $3,400 after 3 years

Step-by-step explanation:

Convert the percentage into the cash decrease each year, multiply that by 3 and then subtract $10,000 by the sum.

.22 x 10,000 = 2,200

2,200 x 3 = 6,600

10,000 - 6,600 = 3,400

6 0
3 years ago
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