Answer:
a(5)=-48
Step-by-step explanation:
I think u r confused
this sequence is geometric not arithmetic
HOw we know that ??
when we get a common difference that must Be equal
d=6+3=9 not equal to d=-12-6=-18
So it is not arithmetic
but when we get the common ratio that also must be equal
r=6/-3=-12/6=24/-12=-2 equal
So it is geometric
By using this equation:
a(n)=a*r^(n-1)
and we have a=-3 , r=-2
Then a(n)=-3*(-2)^(n-1)
To get the next term:
a(5)=-3*(-2)^(5-1)
a(5)=-3*(-2)^(4)
a(5)=-3*16=-48
I really hope this helps <3