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Three arithmetic means between -5 and 20

Sagot :

Answer:

Ok ok bommer whatever you say bommer

Step-by-step explanation:

We know, n

th

term T

n

=a+(n−1)d

a= First term

d= Common difference

n= number of terms

T

n

=n

th

term

Let the required AM be x

1

,x

2

,x

3

. Then,

6,x

1

,x

2

,x

3

,−6 are in AP.

Now, T

5

=−6

⇒a+4d=−6

⇒6+4d=−6

⇒4d=−12

⇒d=−3

∴x

1

=6+d=(6−3)=3,

x

2

=6+2d=(6−6)=0,

x

3

=6+3d=(6−9)=−3.

Three arithmetic means between 6 and −6 are 3,0,−3.