Consider the sequence below.-4, -1, 2, 5, . . .
What is the 10th term of the sequence?
Answers
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.
3*10 = 30
Therefore,
5+30= 35
Related Questions
Small dot placed between ones and tenths
Anybody know the answer
John is trying to determine the length of the staircase he will need for a deck that is 12 feet high he wants to start the stairs 21 feet from the deck
Find the value of x.pls help! tysm
Answers
Rounding 636 to nearest ten will give 640 and rounding 636 to nearest hundred will give 600 .
Given,
Rounding 636 to nearest ten and hundred .
Here,
The number in the tens place is 3. The number after that is 6 which is greater than 5 so you round up. Therefore 636 rounded to the nearest tens place is 640.
The number in the hundreds is 6, the next number is 3 and since it is less than 5, you keep it at the same. 636 rounded to the nearest hundred place is 600.
Know more about rounding off ,
#SPJ6
The number in the hundreds is 6, the next number is 3 and since it is less than 5, you keep it at the same. 636 rounded to the nearest tens is 600.
Answers
is the expanded form of 73,000
The trail starts at R(−1, 4) and goes to S(5, 4) and continues to T(5, −2).
The total length of the walking trail is ____ units.
(Input whole numbers only.)
Numerical Answers Expected!
Answer for Blank 1:
Answers
Answer:
The answer is 12
Heyyy, is this an iready question?
2+5=12
3+6=21
8+11=?
Answers
a + b = a(b + 1)
So...
1 + 4 = 1(4 + 1) = 1(5) = 5
2 + 5 = 2(5 + 1) + 2(6) = 12
3 + 6 = 3(6 + 1) = 3(7) = 21
8 + 12 = 8(12 + 1) = 8(13) = 104
The answer is 104.
Answers
V = Area of base × height of prism
Base is rectangular
Area of rectangle = length × width
V = length × width × height
V = 22.9 × 7.5 × 4.6
= 790.05 m³
790 m³ is the volume (rounded to the nearest cubic meter)
Answers
Im assuming your multiplying wrong
You can compare your work to mine to see what you did wrong:)