Question

What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?

2/3
1
8
3/2

Answer 1

r = 3/2

Explanation:

The common ratio (r) is the number that, when multiplied by the previous (n-1) term, gives the nth term of the geometric sequence (
`a_(n) =a_(n-1)*r`). To find the common ratio, we can take any term and divide it by its preceding term (rearrange the formula to get
`r=(a_(n))/(a_(n-1))`). If we take 24 and divide it by 16, we get the common ratio of 3/2 (
`r=(24)/(16)`,
`r=(3)/(2)`). Hope this helps.

Answer 2

3/2
divide the term but he previous and figure out the sequence