Answer: B.
[tex]a_1=2\\a_n=a_n\times(-5)[/tex]
Step-by-step explanation:
The given geometric sequence : 2, -10, 50, -250
The first term of the sequence : [tex]a_1=2[/tex]
The common ratio between the terms :[tex]r=\dfrac{-10}{2}=-5[/tex]
We know that the recursive formula for geometric progression is given by :-
[tex]a_n=a_{n-1}r[/tex]
Then , the recursive formula for the given geometric progression will be :-
[tex]a_n=a_n\times(-5)[/tex]
