Answer:
The rule is 3(5)^(n-1) where n is the term number.
Explanation:
The constant multiplier = 15/3 = 5.
Checking that this is correct 75/15 = 5, 375 / 75 = 5.
So for term number 1 , the value is 3 , the expanded form is 3 * (5)^(1-1) and the simplified form is 3*5^0 = 3.
Term number 2, the value is 15 , the expanded form is 3 * 5^(2-1) and the simplified form is 3 * 5^1 =15.
The other rows are calculated in the same way.
This is a Geometric sequence with common ratio 5.
The rule for the sequence is 3(5)^(n-1).