What is the nth term of this sequence 7, 10, 13, 16, 19
Answers
Well, let's line up the ones we do have, and see if
we can spot the pattern:
n=1 . . . . . 7
n=2 . . . . . 10
n=3 . . . . . 13
n=4 . . . . . 16
n=5 . . . . . 19
Notice that the next term is always 3 more than the one
where you are right now.
That means
(the change in the term) / (the change in 'n') = 3
That's the description of the 'slope' of a function.
Whatever the graph of terms vs. 'n' is, its slope is 3 .
The equation is something like T(n) = 3n .
Something like it, but not exactly.
If T(n) were exactly 3n, then T(1) ... the first term ... would be 3,
and it's not. It's 7 ... 4 more than that.
Similarly, if T(n) were exactly 3n, then T(2) ... the second term ...
would be 6, and it's not. It's 10 ... 4 more than that. Again !
Maybe that's it. Maybe T(n) = 3n + 4 .
Let's check it out.
If T(n) = 3n + 4, then T(3) ... the third term ... is (9 + 4) = 13. It is ! !
If T(n) = 3n + 4, then T(4) ... the fourth term ... is (12 + 4) = 16. It is ! !
Looking pretty good for that equation. Try the last one that's given:
If T(n) = 3n + 4, then T(5) ... the fifth term ... is (15 + 4) = 19. It is ! !
That must be it. For any number 'n', that term of
the series is
T(n) = 3n + 4 .
Final answer:
To find the nth term of the given sequence 7, 10, 13, 16, 19, use the formula: nth term = first term + (n - 1) * common difference.
Explanation:
The given sequence is 7, 10, 13, 16, 19. To find the nth term of this sequence, we first observe that each term is the result of adding 3 to the previous term. So, we can say that the sequence follows a common difference of 3. To find the nth term, we can use the formula: nth term = first term + (n - 1) * common difference.
In this case, the first term is 7 and the common difference is 3. So, the nth term can be found using the formula: nth term = 7 + (n - 1) * 3.
Therefore, the nth term of the sequence 7, 10, 13, 16, 19 is 7 + (n - 1) * 3.
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Can someone please help me
Alexia started babysitting when she was in high school. She has built a reputation for herself and has become popular among the neighborhood parents. Alexia charges $10/h and gets a $5 automatic tip. Alexia needs $75 to buy a present for her mother. She wants to find out the minimum number of hours she needs to babysit at one job to get the money she needs. (5 points)a. Write an inequality to show how to solve this problem. Identify what the variable is and what it represents.b. Solve the inequality to find out the minimum number of hours Alexia needs to babysit. Show your work.
Answers
First, let's add the whole numbers . . .
10 + 7 = 17
-----------------------------------------------------
Finding the LCD ...
1/9 = 2/18
5/6 = 15/18
2 + 15 = 17
(If both denominators are the same, then they stay the same in the total fraction)
= 17/18
17 + 17/18 = 17 17/18 ←
The correct answer is 17 17/18
10 1/9 + 7 5/6 = 17 17/18
I hope this helps you.
Have a great day! :)
Answers
The minute arm will point towards 10.
Clock
In a clock, the digits represent the hour of the day, while the small points represent the minutes of that particular hour of the day. two complete revolutions of the hour arm(small arm) means a complete day of 24 hours, while the one complete revolution of the minute arm represents an hour.
Solution
As we can see in the image the hour hand is already placed after 1 therefore it is in the right place.
Also, in the image, the clock is having 12 numbers, which are showing the hours in a day, while the small points on the edge of the clock are showing the minutes, at any particular point in time.
As an hour is divided into 60 minutes, therefore, these small 60 points represent those minutes for the minute arm. Between any two numbers, there are 5 points, therefore representing 5 minutes.
For 50 minutes the minute arm needs to cross 49 points and points towards the 50th point, also, we have discussed that the number of points between any two numbers is 5, therefore, dividing the 50 minutes by 5, we get 10. thus the minute arm should point towards 10.
Learn more about Time and clock:
Answers
k+3 3/4=4 1/3
lets find the lcm first then multiply both sides by it but first change it to improper fraction
LCM is 12
[k+15/4]=[13/3]12
12k+45=52
12k=7
k=7/12
show how to simplify the expression. Write the answer the factored form
Answers
-2b-4b=-6b
So the answer is 18a-6b
Choose all answers that are correct.
A.
Translate into an equation.
2,345 – 1,123 + 1,020 = p
B.
Work backward.
Add 1,020 to the population of Rosetown (1,123). Subtract this from the population of Grayville (2,345).
C.
Use logical reasoning.
Start with the population you already know (Grayville = 2,345). Subtract Rosetown's 1,123 fewer people than Grayville. Add 1,020 to this amount because Newtown has 1,020 more people than Rosetown.
D.
Draw a diagram.
Draw 3 large circles. Write 2,345 in the first circle and write 1,123 in the second circle. Add the 2 amounts and subtract 1,020 from the sum. Write this amount in the third circle.
Answers
Answers
160/2 = 80 (2 b/c I want a whole # and 2 is a factor of 6 & 20)
so 80 degree in 2 seconds
so then 80 *10=800 (10 b/c 20/2=10)
but since there's only 360 degrees in a full circle
800/360=2.22
so we go back to 80 *2.22=177.6 degrees
-----------------------------------------------------------------------
v.s. 160 n
---- * --- (20 *160=3200/6=533.33
6 20
You can go w/ whatever answer you think is right b/c frankly I don't know but if I were you I would go with the second one because it seems more right and there's actually a method to the madness.