Answer:the 4th term is - 1/2
Step-by-step explanation:
The formula for determining the nth term of a geometric sequence is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio between consecutive terms.
n represents the number of terms.
Comparing with the given equation,
A(n) = -1/16(2)^{n-1}
first term, a = - 1/16
Common ratio, r = 2
Therefore, the 4th term, A4 would be
A4 = -1/16(2)^{4-1} = -1/16(2)^3
A4 = - 1/16 × 8 = - 1/2
