![williamslyric](/avatars/34848.jpg)
williamslyric
17.02.2020 •
Mathematics
Consider the sequence below.
-4, -1, 2, 5, . . .
What is the 10th term of the sequence?
Solved
Show answers
More tips
- C Computers and Internet Keep Your Mouse Pad Clean: The Right Way to Clean It?...
- F Food and Cooking Homemade French Fries: The Ultimate Guide...
- D Dating, Love, Relationships How Long Can Love Last?...
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- C Computers and Internet How to Properly Order Clothing from International Online Stores...
- H Health and Medicine Headache: A Comprehensive Guide to Treatment...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- A Auto and Moto Discovering the Leader: What is the Most Expensive Car in the World?...
- F Food and Cooking How to Quickly Put your Child to Sleep?...
- C Computers and Internet How to Create a Website for Free and Easy?...
Answers on questions: Mathematics
- M Mathematics What is 79 as a fraction in lowest term...
- M Mathematics Describe reapportionment and redistricting and explain why these processes have to be done every 10 years....
- M Mathematics Afarmer has 1800 ft of fencing available to fence off a rectangular field bordering a straight river. no fence needed along the river. find the dimensions of the field that gives...
- M Mathematics The table below gives the typical number of days of rainfall in spring and fall in death valley, california. spring (event s) fall (event f) rain (event r) 7 6 no rain or dry (event...
- M Mathematics Quadrilateral mnpq has vertices at (−3, 5), (−4, 6), (−5, 7), and (−6, 8). if the quadrilateral mnpq is reflected over the x−axis, what will the new coordinates be? (3, 5), (4, 6),...
- M Mathematics Alarge set of test scores has mean 60 and standard deviation 18. if each score is doubled, and then 5 is subtracted from the result, the...
- M Mathematics Answer the following 3(4x-5) + 4(2x+6)=? -8(2a-3b)-5(6b-4a)=? and x is a letter not a sign...
- M Mathematics Eddie the elf made 13 toys one day in the workshop. some were dolls and the rest were action figures. the number of action figures he made was one more than twice the number of dolles...
- M Mathematics Acollege basketball player makes 80% of her free throws. at the end of the game her team is losing by two points. she is fouled attempting a three-point shot and is awarded three...
- M Mathematics Someone please help me...
Ответ:
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.
Ответ:
change the slope of line a to -4
Step-by-step explanation:
slope of line B = 3/12 = 1/4
slope of Perpendicular line = -4