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.
show your work
b)6
c)8
d)18
By a length of 10.05 meters - 0.5 meters = 9.55 meters, 0.5 meters is less than 10.05 meters.
In mathematics, subtraction involves taking something away from a group or number of items. When you eliminate, what remains in the group grows smaller. The following is an example of a subtraction problem: 7 - 3 = 4.
To determine the difference between the two lengths, we subtract the smaller length from the larger length. In this case, we subtract 0.5 meters, which is the smaller length, from 10.05 meters, which is the larger length. This gives us a difference of 9.55 meters.
Hence, 0.5 meters is less than 10.05 meters by a length of 10.05 meters - 0.5 meters = 9.55 meters.
Learn more about Subtraction operations here:
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