Question

B. A geometric sequence with a fifth term of
1/3 and a constant ratio of 1/3

Answer 1

The geometric sequence is 27,9,3,1,1/3, 1/9,1/27 ....

Explanation:

We have given the 5th term a5 = 1/3

Constant ratio r= 1/3

a5 = a 1 * r^4

1/3= a1 * (1/3)^4

1/3 = a1* 1/81

a1= 1/3 : 1/81

We can solve it as:

a1 = 1/3 * 81

a1= 27

Thus the geometric sequence is 27,9,3,1,1/3, 1/9,1/27 ....