A(n) = -1/16

what is the 4th term in this geometric sequence?

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

4400

step-by-step explanation: