Question

Find the common ratio 24,18,37/2,81/8

Answer 1

Note: The third term of the sequence should be
`(27)/(2)` instead of
`(37)/(2)`, otherwise the sequence has no common ratio.

Given:

The given sequence is

`24,18,(27)/(2),(81)/(8)`

To find:

The common ratio of the given sequence.

Solution:

The quotient of each pair of consecutive terms are:

`(18)/(24)=(3)/(4)`

Similarly,

`((27)/(2))/(18)=(27)/(36)`

`((27)/(2))/(18)=(3)/(4)`

And,

`((81)/(8))/((27)/(2))=(81)/(8)* (2)/(27)`

`((81)/(8))/((27)/(2))=(3)/(4)`

Therefore, the common ratio of the given sequence is
`(3)/(4)` or 0.75.