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Nataly [62]
2 years ago
11

4, 16, 36, 64 is this a arithmetic sequence?

Mathematics
1 answer:
NemiM [27]2 years ago
8 0

Answer:The terms are given by the formula

a

n

=

4

n

2

where

n

=

1

,

2

,

3

,

...

Step-by-step explanation:Write out the original sequence:

4

,

16

,

36

,

64

Write out the sequence of differences of the sequence:

12

,

20

,

28

Since this is not constant, the sequence is not arithmetic.

Write out the sequence of differences of that sequence: 8,8

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Pls help !!! For my math class!
fiasKO [112]

Answer:

35 because they relevantly parrel which explains it alll

4 0
2 years ago
F(x)= x +4<br> g(x) = 3x<br> Work out the value of gf (5).
MrMuchimi

The value of gf(5) for the given two expressions is 135.

According to the question,

We have the following information:

f(x)= x +4

g(x) = 3x

Now, in order to find the value of gf(5), we will first find the value of gf.

Now, we will multiply these two expressions:

3x(x+4)

Now, the terms outside the brackets need to multiplied inside the bracket:

3x^{2} +12x

Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:

3*5*5+12*5

75+60

135

Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.

To know more about value here

brainly.com/question/20562282

#SPJ1

8 0
10 months ago
Liam has a points card for a movie theater.
ra1l [238]

The  number of visits Liam can make to earn his first free movie ticket is: 8.4.

<h3>Number of visits Liam can make</h3>

Let x represent the number of visits

Formula
55+12.5×x=160

Re-arrange

12.5x=160-55

12.5x=105

Divide both side by 12.5x

x=105/12.5

x=8.4 visits

Therefore the  number of visits Liam can make to earn his first free movie ticket is: 8.4.

Learn more about Number of visits Liam can make here:brainly.com/question/18350673

#SPJ1

6 0
1 year ago
Simplify the rational expression. State any restrictions on the variable n^4-11n^2+30/ n^4-7n^2+10
djyliett [7]
To factor both numerator and denominator in this rational expression we are going to substitute n^{2} with x; so n^{2} =x and n ^{4} =  x^{2}. This way we can rewrite the expression as follows:
\frac{n^{4}-11n^{2} +30 }{n^{2}-7n^{2} +10 } =  \frac{ x^{2} -11x+30}{ x^{2} -7x+10}
Now we have two much easier to factor expressions of the form a x^{2} +bx+c. For the numerator we need to find two numbers whose product is c (30) and its sum b (-11); those numbers are -5 and -6. (-5)(-6)=30 and -5-6=-11.
Similarly, for the denominator those numbers are -2 and -5. (-2)(-5)=10 and -2-5=-7. Now we can factor both numerator and denominator:
\frac{ x^{2} -11x+30}{ x^{2} -7x+10} = \frac{(x-6)(x-5)}{(x-2)(x-5)}
Notice that we have (x-5) in both numerator and denominator, so we can cancel those out:
\frac{x-6}{x-2}
But remember than x= n^{2}, so lets replace that to get back to our original variable:
\frac{n^{2}-6 }{n^{2}-2 }
Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is n^{2} -2 \neq 0
n^{2}  \neq 2
n \neq +or- \sqrt{2}
5 0
3 years ago
Read 2 more answers
TIME REMAINING
alekssr [168]

The solution of the equations is (-2, -1)

<h3>System of equation:</h3>

2x - 3y = -1

11x  - 9y = -13

Using elimination method let multiply the first equation by -3.

Therefore,

-6x + 9y = 3

11x - 9y = -13

5x = -10

x = -10 / 5

x = -2

let's find y as follows;

2(-2) - 3y = -1

-4 - 3y = -1

-3y = -1 + 4

-3y = 3

y = 3 / -3

y = -1

learn more on system of equation here: brainly.com/question/1451150

6 0
2 years ago
Read 2 more answers
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