Question

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

2/3
1
8
3/2

Answer 1

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

Answer 2

Answer:

r = 3/2

Step-by-step 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 $r=\frac{a_{n}}{a_{n-1}}$). If we take 24 and divide it by 16, we get the common ratio of 3/2 ($r=\frac{24}{16}$, $r=\frac{3}{2}$). Hope this helps.