Question

I will rate you brainliest

Answer 1

Answer:

Option (3)

Step-by-step explanation:

For a geometric progression,

$a,ar,ar^{2},ar^3.........a(r)^{n-1},a(r)^n$

First term of the progression = a

Common ratio of each successive term to the previous term = r

Recursive formula for geometric progression will be,

$a_1=a$

And $a_{n}=a_{n-1}(r)$

Following this rule for the G.P. given in the question,

$a_1=4$

$a_n=-1.5a_{n-1}$

Therefore, from the recursive formula,

Common ration 'r' = -(1.5)

Option (3) will be the correct option.