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gogolik [260]
1 year ago
6

Consider the first four terms of the sequence below. -3, -12, -48, -192, . . . What is the 8th term of this sequence? A. -49,152

B. -768 C. -12,288 D. -196,608
Mathematics
1 answer:
kolbaska11 [484]1 year ago
7 0

Answer:

A

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

- 12 ÷ - 3 = - 48 ÷ - 12 = - 192 ÷ - 48 = 4

this indicates the sequence is geometric with nth term

a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = - 3 and r = 4 , then

a₈ = - 3 × 4^{7} = - 3 × 16,384 = - 49,152

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The product of 8 and a number algebraic expression
dybincka [34]

Answer: 8x

Step-by-step explanation:

Product stands for multiplication, so we need to use (×)

Let x = the number.

----------------------------------------------

The product of 8 and a number

8 × x=8x

3 0
3 years ago
Read 2 more answers
CONSTRUCTED RESPONSE
Digiron [165]

The fraction for the above ratio is 5/9

Where 5- no of cups of bread crumbs needed; 9= pounds of ground beef needed

Step-by-step explanation:

Anything that can be represented in the x/y form constitutes the fraction.

The above statement can be represented in the fraction form as 5/9. It means that for every 9 pounds of ground beef, 5 cups of bread crumbs are needed.

The above fraction provides the ratio in the form of cups of bread crumb/ pound of ground beef required. Where 5 represents the number of cups of bread crumbs required, 9 represents the pound of ground beef needed for the same.

3 0
3 years ago
Perpendicular to y=4x-7; contains the point (4,3)
san4es73 [151]
Okay, so a general rule for finding perpendicular lines in the form of y = mx + b is y = (-1/m) + b.
First, let's ignore b (-7) because we're going to find that later.
A perpendicular line to y = 4x + b is y = -1/4x + b.
Alright, so now let's plug in the values. They are in the form of (x,y), so let's plug them in accordingly.

3 = -1/4(4) + b
3 = -1 + b
b = 4
y = -1/4x + 4
So a line perpendicular to y = 4x - 7 is y = -1/4x + 4.
5 0
3 years ago
What is the surface area of the rectangular prism?
Nadusha1986 [10]
348 in. 2

2·(8·9+6·9+6·8)=348
7 0
3 years ago
Imagine the graph for the relation 4x-5y+20 = 0.<br> What would be its slope?
muminat
4x - 5y + 20 = 0
<u>             - 20  - 20</u>
        4x - 5y = -20
 4x - 4x - 5y = -20 - 4x
              -5y = -20 - 4x
              <u>-5y</u> = <u>-4x - 20</u>
               -5         -5
                 y = ⁴/₅x + 4
The slope would be ⁴/₅.
4 0
3 years ago
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