Consider the arithmetic sequence:
10, 12, 14, 16, ...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n) = 16 + 3n for n 2-2
A
b(n) = 14 + 2n for n > -1
c(n) = 10 + 3n for n > 0
Dd(n) = 8 + 2n for n > 1
Answers
Answer:
If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]
Option D is correct option
Step-by-step explanation:
We are given the arithmetic sequence:
10, 12, 14, 16, ...
If n is an integer, which of these functions generate the sequence?
We need to find the nth term for the given sequence
The nth term for arithmetic sequence will be: [tex]a_n=a_1+(n-1)d[/tex]
where aₙ is nth term, a₁ is first term and d is common difference
Looking at the sequence a₁ = 10 and d = 2
So, nth term will be:
[tex]a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n[/tex]
So, nth term is: [tex]a_n=8+2n[/tex]
In the options below, the only correct answer is option D. so, we can write nth term as: [tex]d(n) = 8 + 2n\: for\: n > 1[/tex]
So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]
Option D is correct option
Answer:
D) 8 + 2n for n > 1
Step-by-step explanation:
Related Questions
I need help with this problem please
Answers
Answer:
c'( 7,-8) , T < -3 , -5 > 0r
180
Step-by-step explanation:
hope this helps
Im a lil confused with 20% of 180 ft
Answers
Answer:
36 ft
Step-by-step explanation:
20% x 180 = 36
look at pic and answer plzzzzz its a DLA (7th)
Answers
Answer: 187.96 cm
Step-by-step explanation: First you need to convert all of the units into centimeters. To do this you need to convert the 6 feet into inches. Since there are 12 inches in a foot, 6 feet is equal to 72 inches. Next add the 2 inches to 72, and now this means Tyson is 74 inches tall. Lastly convert the inches into centimeters by multiplying 74 by 2.54, which equals 187.96.
Answer:
187.96cm
Step-by-step explanation:
Step 1: Convert 6 feet 2 inches to centimeters.
We have 1 inch = 2.54 cm and 1 foot = 12 inches and 1 feet = 30.48 cm
=> 6 feet 2 inches is about 187.96cm
PLEASE HELP!!! Using the zero product property.
Answers
or 9/5
Help Please! Find The Missing Sides Using Special Right Triangles.
Answers
Answer:
Choice 1
Step-by-step explanation:
m^2 +n^2=13^2
m^2=13^2-n^2
n^2=13^2-m^2
Both m & n =(13 x sq rt 2)/2
To put it another way:
m=(sq rt 2)/2 x 13
n=(sq rt 2)/2 x 13
How many 9 portions for the 3 serves
Answers
Answer 60 ml oil 90 g onions 1200 g potatoes 1350 ml milk
Step-by-step explanation:
multiply by 3
Answer:
60 ml oil
90g onions
1200 g potatos
1350ml milk
Step-by-step explanation:
t-1 4/9+4 5/9=3 2/9. What is t equal to?
Answers
Answer:
This equation is missing something. Can't solve.
Step-by-step explanation:
Jordan earns $243 a week. A week The money is shown at the right. Answer the questions about how much he will earn over time.
Answers
Answer:
umm you need to tell me what the picture is shown at the right looks like plz
Step-by-step explanation:
Lucy made $323 for 17 hours of work.
At the same rate, how many hours would she have to work to make $95
Answers
There are 10 m of thread on the reel. She uses 210 cm. How much is left on the reel in centimeters
Answers
Answer: 8 meters and 90 centimeters
Step-by-step explanation:
there are 100 centimeters in a meter
Nicolas has to repair the roof on his grandmother's house. He needs a ladder
that is 12 meters long. If one meter is approximately equal to 3.3 feet, how long
does his ladder need to be in feet?
8.7 ft
o 3.6 ft
39.6 ft
O 12.2 ft
Answers
Answer:
The ladder has 39.6 feet
Step-by-step explanation:
Length Units Conversion
To convert from meters to feet we use the relation
1 m = 3.3 ft
The ladder that Nicholas needs to repair the roof of his grandmother's hours is 12 meter long.
Converting this length to feet we have
12 * 3.3 = 39.6 ft
The ladder has 39.6 feet
If there are 9 players on a team how many different ways can you make a lineup?
A) 387,420,489
B) 362,880
C) 81
D) 336
Answers
Answer:
B
Step-by-step explanation:
9!=362880
The Change in your pocket weighs 23.42 grams. You remove a quarter that weighs 8.74 grams. How much weight is in your pocket?
Answers
Answer:
14.68
Step-by-step explanation:
it simple 23.42 minus 8.74
PB_WINT FSA DIAG_MA_GRTA_682
Which three measurements could be the lengths of the sides of a triangle?
25 feet, 30 feet, 60 feet
40 feet, 60 feet, 70 feet
40 feet, 175 foot, 220 feet
80 feet, 150 feet, 230 feet
Answers
Explanation: A triangle can be obtuse of acute, either of these answers will make one of those.
(GIVING BRAINILEST) The dot plots show the number of crackers per box for two different brands Which of he following statements is correct
Answers
Answer:
The Answer Is A
Step-by-step explanation:
What is the equation of the line that has a slope of 1/2 and passes through the point (8,-1)? (Write your answer in slope intercept form)
Answers
Answer:
y = 1/2x - 5
Step-by-step explanation:
y = 1/2x+b
-1 = 1/2(8) +b
-1 = 4+b
-5 = b
a right cone has a slant height of 17 feet and the diameter of the base it 30 feet. what is the height of the cone?
Answers
Answer:
8
Step-by-step explanation:
The height of the cone is 8 feet by using the Pythagorean theorem.
How to find the height of a cone?The height of a cone can be found using the Pythagorean theorem and the slant height and radius (or diameter) of the base.
Given that the slant height of the cone is 17 feet and the diameter of the base is 30 feet, we can use the following formula to find the height:
height = √(slant height² - (diameter/2)²)
So in this case, the height of the cone would be:
height = √(17² - (30/2)²) = √(289 - 225) = √(64) = 8
Thus, the height of the cone is 8 feet.
Learn more about the cones here:
brainly.com/question/1578538
#SPJ2
Find the value of 49 – (-40)-(-3)+69
Answers
Answer:
49−(−40)−(−3)+69
=49+40+3+69
=89+72
=161.
Step-by-step explanation:
this answer ................
hii please answer, thank you :)
Answers
Answer:
Eddie used the incorrect ratio for sin
Step-by-step explanation:
sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{UV}{UT}[/tex] = [tex]\frac{8}{17}[/tex] , then
∠ T = [tex]sin^{-1}[/tex] ([tex]\frac{8}{17}[/tex] )
5a +8 2ab + 4 simplifies into:
Answers
Answer:
I think it is 5a+2ab+12
PLS HELP ME WITH THIS!!
Also pls explain why you go the answer.
Answers
Answer:
C
Step-by-step explanation:
To simplify this equation,
-x+10<2
-10 from both sides
-x<-8
Take out the negative
x<8
This means x is less than 8
For ≤ and ≥ , use a closed dot to indicate the number itself is part of the solution.
For < and >, use an open circle to indicate the number itself is not part of the solution.
In this case you use a open circle and becasue x is less than 8, the arrow pointing left is correct.
Isabella correctly answered 18 of the questions on a history test. This represented 90% of the total questions. What was the total number of questions on the history test?
Answers
Answer:
20
Step-by-step explanation:
let x equal the number of questions
We know that
.9*x=18
to solve divide by .9 and get x=20
Answer:
20
Step-by-step explanation:
i took this on edg
Exercise 3
John spends half of his pocket money, then a third of the rest.
1) What proportion of the starting money does he have left?
2) Since he has 5 dollars left, how much did he initially have?
Answers
Answer:
1/2 - 1/3
3/6- 2/6 = 1/6
he has 1/6 left
6 X 5 = 30
he initially had $30
Linda buys a packet of biscuits, there were p biscuits in it. She eats y of them and gave the rest to her friend. How many biscuits does Linda's friend get?
Answers
Graph the linear equation y=2x + 1
Answers
Answer:
Answer attached
Step-by-step explanation:
Which expression(s) is (are) equivalent to
5(x + 9) + 7(y + 2) - x?
Select ALL that apply.
A. 5x + 9 + 7y + 2 - x
B. 4x + 7y + 59
OC. 5x + 45 + 7y + 14 - X
D. 11xy + 11
OE. 4x + 7y + 11
OF. 11xy + 59
Answers
Answer:
OC. 5x + 45 + 7y + 14 - X, OE. 4x + 7y + 11
Step-by-step explanation:
Because, 5(x + 9) is 5x + 45 and 7(y + 2) is 7y + 14 and so you simplify by simplifying the like terms for example 5x - x = 4x 45 + 14 = 59 and 7y stays the same.
The expression 5(x + 9) + 7(y + 2) - x can be equivalent to 4x + 7y + 59 and 5x + 45 + 7y + 14 - x, so option B and C are correct.
What is expression?A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.
Given expression:
5(x + 9) + 7(y + 2) - x
If you simplify, you will get,
5x + 45 + 7y + 14 - x,
And as further simplified we get,
4x + 7y + 59
Therefore, the expression 5(x + 9) + 7(y + 2) - x can be equivalent to 4x + 7y + 59 and 5x + 45 + 7y + 14 - x.
To know more about the expression:
https://brainly.com/question/13947055
#SPJ2
John and A.J. decided to get lunch from the hot dog cart. John bought 2 hot dogs and a soda, and his total was $4.00. A.J was taking lunch back to another coworker, so he bought 5 hot dogs and 2 sodas. A.J.'s total was $9.50.
What was the cost of each hot dog? each soda?
Answers
Soda: $1.00
I Hope This Helps!(^_^)
Exapand using Distributive Property: 2(x-5)
i need this ASAP please
Answers
Answer:
2x-10
Step-by-step explanation:
no time to explain
Find the slope of the lines
Answers
Answer:
m= 2/3
Step-by-step explanation:
slope = rise/run
11.
10. The points (2, 4) and (-2,-4) are plotted on the
coordinate plane using the equation y=a.x.
How can you use the coordinates to find the
value of a?
..
Answers
Answer: 2
Step-by-step explanation: use the slope formula y2-y1/x2-x2
-4-4/-2-2=-2
(both equations above should be fractions when read)
