Question

Please help! (40 points) Find the common ratio for this geometric sequence. 1 1 1 2'8'32 8, 2, A.1 4 O A. B. 12/1 O B. O C. 4 OD. 2​

Answer 1

`\textsf{A.} \quad (1)/(4)`

Explanation:

Given geometric sequence:

`8,\;2,\;(1)/(2),\;(1)/(8),\;(1)/(32)`

The common ratio for a geometric sequence can be found by dividing a term by the previous term.

`\implies r=(a_2)/(a_1)=(2)/(8)=(2 / 2)/(8 / 2) =(1)/(4)`

Therefore, the common ratio for the given geometric sequence is 1/4.