Question

if a,b,c are in A.P and also G.P ,find the value of a-c​

Answer 1

Answer:

0

Step-by-step explanation:

if a,b,c are in A.P then they satisfy the following condition

b-a=c-b which implies 2b=a+c

and if a,b,c are in G.P they satisfy the following condition

b/a=c/b which implies b^2=ac

now consider (a-c)^2=a^2+c^2-2ac

which is also equal to a^2+c^2+2ac-4ac

which gives us (a+c)^2-4ac

we have values of a+c and ac; substituting them we get

(2b)^2-4(b^2) which equals

4b^2-4b^2=0

I really hope this helps you