Question

Find the three arithmetic means between ­-4 and 16.

Answer 1

Explanation:

let the three arithmetic means is x,yand z

-4,x,y,z,16

we know that common difference is same in A.P

x+4=y-x

2x=y-4 ---------------------(1)

y-x=z-y

2y=z+x ---------------------(2)

z-y=16-z

2z=16+y --------------------(3)

after solving equation (1),(2)and(3) we get

x=1

y=6

z=11