Show that each one of the following progressions is a G.P. Also, find the common ratio in each case :
i. 4, -2, 1, ,….
iii.
iv.
(i) Let a = 4, b = -2, c = 1.
In GP, b2=ac
⇒ (-2)2 = 4.1
⇒ 4 = 4
Common ratio = r
(ii) Let , b = -6, c = -54.
In GP, b2=ac
⇒
⇒ 36 = 36
Common ratio = r
(iii) Let a = a,
In GP, b2=ac
⇒
⇒
Common ratio
(iv) Let
In GP, b2=ac
⇒
⇒
Common ratio