16th term in the geometric sequence 1024, - 512, 256, ...

A. - 1/64

B. - 1/32

C. 1/64

D. 1/32

Answer:-1/32

Step-by-step explanation:

First term=a=1024

Common ratio=r=-512/1024

r=-1/2

Using them formula

Tn=a x r^ (n-1)

T16=1024 x (-1/2) ^ (16-1)

T16=1024 x (-1/2) ^15

T16=1024 x - 1/32768

T16=-1024/32768

T16=-1/32