Consider the terms in the sequence: {1/3,1/9,1/27, ...}

Common ratio of the sequence:

First term in the sequence:

recursive rule that describes the sequence:

1/3, 1/3, a*[r^ (n-1) ]

Step-by-step explanation:

First term is 1/3

Common ratio is the ratio of any two consecutive terms:

Term2/Term1 = (1/9) : (1/3)

= (1/9) * (3/1)

= 1/3

Let a be the first term and r be the common ratio,

Then any term of the sequence can be obtained using the following formula:

a*[r^ (n-1) ]