Question

Find the common ratio for the follwing sequence. 27, 9, 3, 1, ... A. 3 B. - 1/3 C. -3 D 1/3There is a Picture too if you need it.

Answer 1

Answer:

D. 1/3

Explanations:

The given sequance is:

27, 9, 3, 1, .............................

For a geometric sequence:

`T_1,T_2,T_3,T_4,\ldots\ldots\ldots..T_(n-1),T_n`

The common ratio is:

`r\text{ = }(T_2)/(T_1)\text{ = }(T_3)/(T_2)=(T_4)/(T_3)=\ldots\text{..=}(T_n)/(T_(n-1))`

For the sequence 27, 9, 3, 1

`r\text{ = }(9)/(27)=\text{ }(3)/(9)=\text{ }(1)/(3)`

The common ratio = 1/3