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ioda
2 years ago
11

Write the first five terms of the arithmetic sequence. a1 = 9; d = -2

Mathematics
1 answer:
asambeis [7]2 years ago
4 0

Answer:

nth term = 1 1/2n -1

Step-by-step explanation:

The arithmetic sequence formula is:

a n = a 1 + ( n – 1 ) d

Where: a n

is the nth term in the sequence

a 1

is the first term in the sequence

n

is the term you are solving for

d

is the common difference for any pair of consecutive numbers in the sequence.

First Term or  

n = 1 :

This is given in the problem.

a 1  =  9

Second Term or  

n = 2 :

Substitute  

2  for  n

in the formula and substitute the values from the problem giving:

a 2 = 9 + ( ( 2 – 1 ) × -2 )

a 2 = 9 + ( 1 × -2 )

a 2 = 9 +-2

a 2 = 7

Fifth Term or  n = 5 :

Substitute      in the formula and substitute the values from the problem giving:

a 5 = 9+ ( ( 5– 1 ) × -2 )

a 5 = 9 + ( 4 × -2 )

a 2 = 9 + -8

a 2 = 1  

Using this same process you should be able to determiner the

Third Term or  n = 3

: and Fourth Term or  n = 4 :

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A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousand
beks73 [17]

Answer:

see explaination

Step-by-step explanation:

Using the formulla that

sum of terms number of terms sample mean -

Gives the sample mean as \mu=17.954

Now varaince is given by

s^2=\frac{1}{50-1}\sum_{i=1}^{49}(x_i-19.954)^2=9.97

and the standard deviation is s=\sqrt{9.97}=3.16

b) The standard error is given by

\frac{s}{\sqrt{n-1}}=\frac{3.16}{\sqrt{49}}=0.45

c) For the given data we have the least number in the sample is 12.0 and the greatest number in the sample is 24.1

Q_1=15.83, \mathrm{Median}=17.55 and Q_3=19.88

d) Since the interquartile range is Q_3-Q_1=19.88-15.83=4.05

Now the outlier is a number which is greater than 19.88+1.5(4.05)=25.96

or a number which is less than 15.83-1.5(4.05)=9.76

As there is no such number so the given sample has no outliers

5 0
3 years ago
What is the factorization of the polynomial below? -x^2-15x-54
amid [387]
To factor a polynomial we need to find 2 numbers that add up to -15 and multiply into -54.
(-x -18)(x +3) Will be your answer.
8 0
3 years ago
The table lists how financial aid income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint form
Kipish [7]
You can see that every decade the income increases by 6,250. So if you want to do 5 years instead you would have to add 3,125 to the income of 1980 to find what the income was for 1985. Now you add 33,750+3,125= 36,875. The financial aid cutoff for 1985 would be $36,875.
3 0
3 years ago
Read 2 more answers
Could someone answer these 3 for me?
KengaRu [80]

Answer:

x=4.77

Angle 3=98.32 degrees

Angle 6= 81.68 degrees

Step-by-step explanation:

(Assuming these are parallel lines), Angle 3 and angle 5 are equal because they are alternate Angles. Therefore we can write the following equation to solves for x:

16x+22=3x+84 (angle 3=angle5)

Which we can now solve:

16x +22 - 22 - 3x=3x-3x+84-22

13x=62

13x/13=62/13

x=4.77 (2dp)

We can then use this x to calculate angle 3:

16(4.77)+22

76.33+22=98.32 degrees

Finally,

Angle 6 and angle 3 are interior angles, so they add up to 180 degrees.

So to find angle 6,we can just subtract angle 3 from 180:

180-98.32=81.68 degrees.

Hope this helped!

6 0
3 years ago
What is (X^3 - 4x^2 + 4x - 1) / (x-1)?
professor190 [17]

Answer:

x^{2} -3x+1

Step-by-step explanation:

\frac{x^{3}-4x^{2} +4x-1}{x-1}=\frac{(x-1)(x^{2}-3x+1 )}{x-1}=x^{2}-3x+1

8 0
3 years ago
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