Question

which are the following sequences are in G.P ? 1) 1,-5,25,-125...... 2) 120,60,30,18. 3)16,4,1 ​

Answer 1

ANSWER....

(3) 16, 4, 1

4/16 = 1/4

1/4 = 1/4

Answer 2

Answer:

1 and 3 are in G.P.

1) a=1,r=-5

ar = 1*-5 = -5

ar^2 = 1*(-5)^2 = 25

ar^3 = 1*(-5)^3 = -125

Sequence 1,-5,25,-125....... is in G.P.

3)a=16,r = 1/4

ar = 16*(1/4) = 4

ar^2 = 16*(1/4)^2 = 1

Sequence 16,4,1 is in G.P.