Question

Which term of the sequence 2 , 1 , 1/2 , 1/4 , ......is 1/128.

Answer 1

Answer:

Step-by-step explanation:

This is a Geometric Sequence

Each term is the form ar^{n-1$a = 2 }$

for n = 1

a = 2a=2

for n = 2

2r = 12r=1

r= \frac{1}{2}r=

2

1

​

therefore

ar^{n-1}=2(\frac{1}{2} )^{n-1}= \frac{1}{128}= \frac{1}{2^7}ar

n−1

=2(

2

1

​

)

n−1

=

128

1

​

=

2

7

1

​

n=9n=9

So its the 9th term

Answer 2

Answer:

Step-by-step explanation: