Question

if p,q,r,s are in G.P show that p+q,q+r,r+s are also in G.P​

Answer 1

Step-by-step explanation:

q/p= R

q=pR

r/q=R

r=Rq=pR^2

s/r=R

s=Rr

s=R^3 p

suppose

p+q,q+r,r+s are in g.p then

q+r/p+q= K=r+s/q+r

(substitute value of q,r)

pR+R^2p/ pR +p=K

pR(1+R)/p(1+R)=K

there fore K=R

it is same for

r+s/q+r