Answer:
3) ,
Step-by-step explanation:
Given that the explicit rule for a sequence is .
Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.
1) ,
2) ,
3) ,
4) ,
Plug n=1 into given formula to get first term
base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term
Hence correct choice is: 3) ,