What is the 10th term of the sequence?
Answer: 23
Explanation: First of all, let's make sure we have an arithmetic sequence. An arithmetic sequence is a sequence that has a common difference which is the number repeatedly added or subtracted to reach the next term.
To get from -4 to -1, we're adding 3.
To get from -1 to 2, we're adding 3.
To get from 2 to 5, we're adding 3.
So we know that this is an arithmetic sequence because it has a common difference or the number that is repeatedly added which is 3.
Now, we want to determine the 10th term in this sequence.
There are 2 ways that you can determine the 10th term. You can keep on adding 3 until you get to the 10th term or you can use the explicit formula. I will show you the explicit formula which is shown below.
Now we want to determine what the 10th term is so we're trying to determine . Now, we know what is because it's our first term or -4. Now, n will be the number of terms we're solving for or 10. Lastly, we have the d which represents the common difference which is 3.
So plugging into the formula, we have .
Now, make sure we apply order of operations because this is where many students make mistakes.
(10 -1) is going to be 9. Then we want to make sure we multiply before we add so 9 x 3 is going to be 27 and then -4 + 27 is 23.
So the 10th term in this sequence is 23.
B. practice time
C. age of golfers
D. difficulty of the golf course
Remember that the dependent variables'(often referred to as y) value is based off of the independent variable, which can change around on its own and directly change the dependent variable.
With that being said, the answer is A:
Golf scores in the tournament. This is because it depends on
practice time(the independent variable).
Good luck!
-RxL