Answer:
.
Step-by-step explanation:
The given series is,
When we substitute , we get the first term, which is
This implies that,
.
The common ratio is
The finite geometric sum is given by the formula,
.
Since there are 9 terms, we find the sum of the first nine terms by putting in to the formula to get,
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The correct answer is B
For this problem, we are going to have to use our order of operations, which is: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction (often abbreviated PEMDAS).
First, let's see if there are any parentheses. There is one set of parentheses which we will have to remove. To do this, we will simply multiply the -4 by the 6, given us a value of -24 to take the place of the -4(6). Now our problem is:
Next, we will check for exponents. There are exponents, so we will need to take care of those. is equal to 144, and
is equal to 121. We can now substitute these values into the original expression to get:
Now, we will check for any multiplication or division. Besides the entire expression (which is a fraction), there is none, so we will move on to the next step: Addition and Subtraction. You can see there is addition and subtraction in the numerator. is equal to 120, and
is equal to 121. Our problem is now:
Our answer is 1.
