Answer:
-11,000
Step-by-step explanation:
Given the recursive function of a sequence to be a(n)=a(n−1)⋅10 and a(1) = -11
To find the fourth term of the sequence i.e when n = 4,
First when n = 2
a(2) = a(2-1)•10
a(2) = a(1)•10
a(2) = -11×10
a(2) = -110
When n =3
a(3) = a(2)•10
a(3) = -110×10
a(3) = -1100
When n = 4
a(4) = a(3)•10
a(4) = -1100×10
a(4) = -11,000
The 5th term of the sequence is -11,000
