Answer:
Step-by-step explanation:
The terms of the sequence are:
We can rewrite the terms in factored form to get;
We can see that the subsequent terms are obtained by multiplying the previous term by . This is called the common ratio.
Therefore the first term of this geometric sequence is and the common ratio is
.
The nth term of a geometric sequence is given by: .
Let us substitute the first term, the common ratio, and to obtain:
Name the property the equation illustrates
(ab)3 = a(b3)
A. Commutative property of addition
B. Associative property of Multiplication
C. Associative Property of Addition
D. Inverse Property of Multiplication
<h3><u>Answer:</u></h3>Associative property of Multiplication
<h3><u>Solution:</u></h3>From given equation
(ab)3 = a(b3)
We have to find the property used here
We find the brackets are interchanged
So here, given is a multiplication equation
Therefore, Associative property of Multiplication is used
<h3><u>Associative property of Multiplication:</u></h3>This property says that when we are multiplying it does not matter where you put the parenthesis
The result will be same wherever we put the parenthesis in multiplying two or more numbers
Which means,
Therefore, from given,
Thus associative property of multiplication is used