Question

Find k if 2k+1, k, 3k+2 are in G. P

Answer 1

Answer:

k/2k+1=3k+2/k

(a1,a,a3 are in G.P)

by cross multiplication

k^2=6k^2+4k+3k+2=0

k^2=6k^2+7k+2=0

5k^2+7k+2=0

5k^2+5k+2k+2=0

5k(k+1)+2(k+1)=0

(5k+2)+(k+1)=0

k=-5/2 or k=-1

Answer 2

This is the whole solution