Question

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1. Insent 3 arithmetic means between - 18 & 4​

Answer 1

Answer:

7.5,11,14.5

Step-by-step explanation:

so let 4 be the first term and 18 be the last term of the A.P. and A1,A2,A3 be the three arithmetic means between 4 and 18

as we are inserting '3' arithmetic means in between them so the number of terms in the A.P. will be 5.

t1=a=4 -(1)

t5=a+4d=18 -(2)

Substituting (1) and (2)

4+4d =18

4d=14

d=3.5

So,the second,third and fourth term of the A.P. become the Arithmetic mean A1,A2,A3

A1=t2=a+d=4+3.5=7.5

A2=t3=a+2d=4+2(3.5)=4+7=11

A3=t4=a+3d=4+3(3.5)=4+10.5=14.5

Hence the three arithmetic means are 7.5,11,14.5.

Hope it helped.