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Akimi4 [234]
3 years ago
8

What is the explicit formula that represents the geometric sequence -2, 8, -32, 128

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0
a_n=a_1r^{n-1}\\\\a_1=-2;\ a_2=8;\ a_3=-32;\ a_4=128\\\\r=a_2:a_1\to r=8:(-2)=-4\\\\\boxed{a_n=-2\cdot(-4)^{n-1}}
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2x^2-4x=t solve for t
Archy [21]

Answer:

2 {x}^{2}  - 4x = t \\ t = 2x(x - 2)

6 0
3 years ago
For what value of x would the expression below be undefined? 6x − 9 x − 5
Marina86 [1]
6x - 9x - 5 =

combine like terms

6 - 9 = - 3

- 3x - 5 = 

leave x by itself

- 3x - 5 = 
+3x
___
  0
       - 5 = 3x

solve for x (division)

        
- 5 = 3x
       ___
         3
-5/3 = x         OR         x = -5/3
3 0
3 years ago
Katy buys 4 DVDs every 2 weeks how many will she buy in 10
malfutka [58]

If she maintains her average amount of movies bought every week, then she will buy 20 DVDs in 10 weeks. Explanation: she buys 4 every week, so if we want to find out how many are in 10 weeks, we must multiply two until we get to 10 ( five weeks ) then multiply that buy her average of movies. And that is how we get the answer of 20 DVDs! ( her at least I did )

Anyways, hope this helps!

5 0
3 years ago
Read 2 more answers
The marketing club at school is opening a student store. They randomly survey 50 students about how much money they spend on lun
Luden [163]

Answer:

The expected value for a student to spend on lunch each day = $5.18

Step-by-step explanation:

Given the data:

Number of students______$ spent

2 students______________$10

1 student________________$8

12 students______________$6

23 students______________$5

8 students_______________$4

4 students_______________$3

Sample size, n = 50.

Let's first find the value on each amount spent with the formula:

\frac{num. of students}{sample size} * dollar spent

Therefore,

For $10:

\frac{2}{50} * 10 = 0.4

For $8:

\frac{1}{50} * 8 = 0.16 l

For $6:

\frac{12}{50} * 6 = 1.44

For $5:

\frac{23}{50} * 5 = 2.3

For $4:

\frac{8}{50} * 4 = 0.64

For $3:

\frac{4}{50} * 3 = 0.24

To find the expected value a student spends on lunch each day, let's add all the values together.

Expected value =

$0.4 + $0.16 + 1.44 +$2.3 + $0.64 + $0.24

= $5.18

Therefore, the expected value for a student to spend on lunch each day is $5.18

7 0
3 years ago
3x+1=3(x-1)+4 i really need help on this problem
atroni [7]

Step-by-step explanation:

2x + 1 = 3x -3 + 4 ➡ 2x + 1 = 3x + 1

x = 0

6 0
3 years ago
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