Question

write a rule for the sequence and list the next term
rule:_____
-6,-24,96,384,____

Answer 1

alternate signs as in -,-,+,+,-,-,+,+,...
and just keep multiplying by 4
a_n = (-1)^(1+[(n-1)/2] * 6 * 4^(n-1)
where [x] is the greatest integer (floor) function