(Q27).Which of the following are G.P. ? If they are G.P, write three more terms,

(vi) 3, -32, 33, ……

Given: t1 = , t2 = -2, t3 = 3 , ....

t2
t1
 =
-2
 = -
t3
t2
 =
3
-2
 = -
∴ r =
t2
t1
 =
t3
t2
 = ......... = -

i.e., every term is obtained by multiplying its preceding term by a fixed number -.

3, -32, 33, …… forms a G.P,

an = a . rn-1

a4 = a . r3 = 3 × (-)3 = 3 × (-) = -

a5 = a . r4 = 3 × (-)4 = 3 × =

a6 = a . r5 = 3 × (-)5 = 3 × (-) = -