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lora16 [44]
2 years ago
12

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Mathematics
1 answer:
ycow [4]2 years ago
5 0
The correct answer is x = 6
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Write an explicit formula for an, the nth term of the sequence 112, -28, 7, ....
MA_775_DIABLO [31]

Answer:

a_n=112\left(-\frac{1}{4}\right)^{n-1}

Step-by-step explanation:

<u>Geometric Sequences</u>

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

112, -28, 7, ...

It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.

Let's find the common ratio by dividing each term by the previous term:

\displaystyle r=\frac{-28}{112}=-\frac{1}{4}

Testing with the third term:

\displaystyle -28*-\frac{1}{4}=7

Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:

a_n=a_1*r^{n-1}

a_n=112\left(-\frac{1}{4}\right)^{n-1}

6 0
2 years ago
What is the quotient?<br> 3<br> 4
max2010maxim [7]

Answer:

0.75

Step-by-step explanation:

it makes sense that 3 is the Dividend, 4 is the Divisor, and you want to know the Quotient. Thus, the answer is:

3 ÷ 4 = 0.75

3 0
3 years ago
Describe the graph of the line y =-5
Tatiana [17]

Answer:

a horizontal line pass the y axis of -5

3 0
3 years ago
PLEASE HELP FAST ILL GIVE BRAINLIEST The volume of 1 can of Pepsi is 0.4
AveGali [126]

Answer:

B. 4.0 liters

Step-by-step explanation:

1 can = 0.4 l

10 cans = 0.4l x 10

0.4l x 10 = 4l

10 cans = 4l

8 0
2 years ago
Solve (x + y + 2)(y + 1)
stiv31 [10]

Answer:

xy+y2+x+3y+2

Step-by-step explanation:

7 0
3 years ago
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