What is the common ratio of the geometric sequence below 10,15,22.5,33.75

You divide each member by the one before it

Explanation:

You'll find that the answer  r = 1.5  ( r  for ratio)

The first term is called  u∧0 = 10

So the  n th term is called  u n − 1  and it takes n − 1  multiplications to get there from u 0 , so:

n th term =  u n  − 1  = u 0 ×  r n − 1

Or, in your case: n th term  = u n − 1 = 10 × 1.5 n − 1

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https://socratic.org/questions/how-do-you-find-the-nth-term-rule-for-10-15-22-5-33-75-50-63