What is the arithmetic mean between -12 and 4

-4 is the arithmetic mean between -12 and 4

Step-by-step explanation:

m=a+b

2

m=-12+4

2

m=-8

2

m=-4

1. 8, 29, 50, 71, 92

2. 12, -7.5, -3, 1.5, 6

3. 24, 16.8, 9.6, 2.4, -4.8, -12

4. 4, 0.67, -2.67,-6.00,-9.33,-12.67, -16

5. 2√5, 6√5,10√5, 14√5

1.) 90 is the arithmetic mean between 85 and 95.

m=a+b

2

m=85+95

2

m=180

2

m=90

2.) - 4 is the arithmetic mean between -12 and 4.

m=a+b

2

m=-12+4

2

m=-8

2

m=-4

3.)Therefore the 3 arithmetic means between 17 and 1 are 13,9,5.

an=a1+(n-1)d a2=17+-4 a3=13+-4 a4=9+-4

a5=a1+(5-1)d a2=13 a3=9 a4=5

1=17+4d

- 16=4d

d=-4

4.) The four terms between 18 and 23 are 19,20,21,22.

an=a1+(n-1)d a2=18+1 a3=19+1 a4=20+1 a5=21+1

a6=a1+(6-1)d a2=19 a3=20 a4=21 a5=22

23=18+5d

5=5d

d=1

5.) The five terms between 8 and 11 are 8.5 , 9 , 9.5, 10 , 10.5

an=a1+(n-1)d a2=8+0.5 a3=8.5+0.5 a4=9+0.5 a5=9.5+0.5

a7=a1+(7-1)d a2=8.5 a3=9 a4=9.5 a5=10

11=8+6d

3=6d a6=10+0.5

d=0.5 a6=10.5

1.) 90

2.) -4

3.) 13,9,5

4.) 19,20,21,22

5.) 8.75,9.5,10.75

1.) The five arithmetic means are -8,-4,0,4,8.

2.)The three geometric means are 32,64,128.

Step-by-step explanation:

1.) In order to solve for the arithmetic means, we must find the common difference (d) in order to jump onto the next step.

Using the formula :

Asubn=Asub1 + (n-1)d

wherein,

Asubn=last term given=12

Asub1=first tem given=-12

n=the number of all terms in the sequence=7

12=-12+ (7-1)d

12=-12+ 6d

24= 6d

(divide both sides by 6)

4=d

Since we already know the common difference, add its value to the first term then add it again to the second term and so on and so forth.

-12+4=-8

-8+4=-4

-4+4=0

0+4=4

4+4=8

The arithmetic sequence would look like : -12,-8,-4,0,4,8,12

Therefore, the five arithmetic means are : -8,-4,0,4,8.

2.) In order to solve the geometric means, we must find the common ratio (r) in order to jump onto the next step.

Using the formula :

Asubn= (Asub1) (r^n-1)

wherein,

Asubn=last term given=256

Asub1=first tem given=-16

n=the number of all terms in the sequence=5

256= (16) (r^5-1)

256= (16) (r^4)

(divide both sides by 16)

16 = r^4

2=r

Since we already know the common ratio, multiply its value to the first term then multiply it again to the second term and so on and so forth.

16 x 2 =32

32 x 2=64

64 x 2 =128

The geometric sequence would look like : 16,32,64,128,256

Therefore, the three geometric means are: 32,64,128.

1.)90

2.)-4

3.)9

4.)19,20,21,22

5.)17/2,18/2,19/2,10,21/2

6.)6,18,24,30,36

7.)11,14,20,23,26

9.)8,13,18,23,33

11. 30

12.-12,-8,-4,0,4

13.4

14.345

15. 55

Step-by-step explanation:

11. 7x4= 28+2=30

12. -12+4=-8

13.4

14. 30x11= 330+15=345

15.-17+8=-9

11.)26

12.)8,4,0,4

13.)-4

14.)334

15.)55

answer:

-20

Step-by-step explanation:

-12 + -28= -20

WE CAN GET THE ARITHMETIC MEAN BY FINDING THE AVERAGE OF THE TWO NUMBERS. IN THE FINDING AVERAGE SIMPLY, ADD THE TWO NUMBERS THEN DEVIDE BY TWO.

-12, (-20), -28

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