Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form. a1 = – 25 an = an–1–14 an=
Given :
[tex]a_1=-25[/tex] .
[tex]a_n=a_{n-1}-14[/tex] .
To Find :
The general equation of [tex]a_n[/tex] .
Solution :
We know , when difference between any two consecutive terms in an A.P is equal , then the series is in arithmetic progression .
Now , common difference ,
[tex]d=a_n-a_{n-1}\\\\d=-14[/tex]
Also , first term is -25 .
Now , general term of an A.P is given by :
[tex]a_n=a+(n-1)d\\\\a_n=-25+(n-1)(-14)\\\\a_n=-25-14n+14\\\\a_n= -11-14n[/tex]
Hence , this is the required solution .
Write the Linear Equation in Point-Slope Form for a line that has a slope of
-10 and passes through the point (8,2). *
Answer:
y = -10x + 82
Step-by-step explanation:
Plug in the slope and point into y = mx + b to solve for b:
y = mx + b
2 = -10(8) + b
2 = -80 + b
82 = b
Then, plug b and the slope into y = mx + b
y = -10x + 82 is the equation in point slope form.
Find the slope of the line passing through the points (-18, -5) and (-19, -13)
Answer:
Let (-18, -5) be (x1,y1)
(-19, -13) be (x2,y2)
slope = (y2-y1)/(x2-x1)= (-13+5)/(-19 +18) = 8
Answer: The slope is 8.
Step-by-step explanation: To get the slope you have to do y2 - y1 over x2 - x1. so you take the -5 and subtract -13 from it, which equals 8. Then subtract -19 from -18 which is 1. So you have 8/1 which is 8.
Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
• Write an expression to represent Max's number.
Answer:
2(n+8)
sum is 30
Step-by-step explanation:
Answer:
2(n+8)
Step-by-step explanation: taking quiz right now
2. Which of these graphs represents a function?
Answer:
I think the first one.
Step-by-step explanation:
A bag holds 12 red marbles, 11 green
marbles, 17 blue marbles, and 5 yellow
marbles. What is the probability that
you will NOT choose a blue marble?
5
A
45
(В)
11
45
12
© 45
28
45
Answer:
62.22%
Step-by-step explanation:
First, find how many total marbles there are:
12 + 11 + 17 + 5
= 45
Then, find how many marbles that are not blue:
12 + 11 + 5
= 28
Then, divide 28 by 45, and multiply by 100
(28/45) x 100
= 62.22% is the probability of not choosing a blue marble
Solve for the length of BC
Answer:
BC= 9cm
Step-by-step explanation:
You'll need to use the Pythagorean theorem:a^2 + b^2 = c^2
12^2 + b^2 = 15^2The slanted side of the triangle is always going to be 'c' because it is the longest side of the triangle.
Now simplify: 144 + b^2 = 225I got these numbers because 12^2= 144 and 15^2= 225
Subtract. 225 - 144 = 81Now find the square root of 81. The answer is 9.The scale is 1:500 the students cell model has a length of 15 Cm.
How many cm is the real cells length
A. 33cm
B. 0.002
C. 0.03
D. 7500 cm
Answer:
Option C - 0.03 cm
Step-by-step explanation:
The model has a length of 15 cm.
Now, we are told that the scale is 1:500. This means that 1 unit is represents 500 cm on the model.
Since the length on the model is 15 cm which is 15 units, then the true length would be;
15 × 1/500 = 0.03 cm
Therefore, the true length is 0.03 cm.
Option C is correct
Answer:
0.03 cm
Step-by-step explanation:
what is 24-6x3+52-(12÷2)
Answer:
Step-by-step explanation:
524-6x3+52-(12÷2)
Multiplique los números
524-18+52- (12÷2) paso tres divida los números 524-18+52-6calcula la suma o resta 524-18+52-6=552solución= x = 552simplify 12-15÷3-3 pwease
Answer: -6
Step-by-step explanation: mark me as brainliest if i helped
The value of the expression is 4.
We have,
Expression:
12 - 15 ÷ 3 - 3
Now,
Apply PEMDAS.
Divide 15 by 3.
12 - 15/3 - 3
[ 3 x 5 = 15]
So,
12 - 5 - 3
12 - (5 + 3)
12 - 8
4
Thus,
The value of the expression is 4.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Evaluate f(x) = 5x2 - 4x - 9 for f(-2)
Answer:
99
Step-by-step explanation:
5x^2 -4x -9
5(-2)^2 -4(-2) -9
-10^2 +8 -9
100-1
99
Someone please help me out with this question ASAP thank u
Answer:
Yes, it is AC.
Explanation:
There’s no other way of naming it.
Can someone answer fast?
Which of the following rules describes the function graphed below?
I have no idea how to do this
Answer:
I would say c im not 100% sure sorry if i got it wrong
Step-by-step explanation:
Let b represent the hours Liz spends babysitting. Let t represent the number of hours she spends tutoring. Given that Liz can work at most 12 hours per week, write an inequality that models the number of hours she spends babysitting and tutoring in a week.
Answer:
b+t < 12 (< has a line under it)
Step-by-step explanation:
Liz can work at most 12 hours per week. So, add the number of hours she spends babysitting, b, and the number of hours she spends tutoring, t, in a week, and represent the sum as less than or equal to 12:
b + t < 12
Also I just got done doing this problem my self
If you give me the right answer i will give you the brainlyest!!!!!!
Answer:
the graphed points are in the picture attached
They intersect at (-8,1)
It passes through the x-axis at (-10,0)
It passes through the y-axis at (0,5)
Step-by-step explanation:
:)
Answer:
its a blue line from one ten to anothor
what is the value of the expression below when x=8? 9x-5
Answer:
67
Step-by-step explanation:
9x−5
x=8
9(8)−5
72−5
=67
The musical theme was first introduced by the
Answer:
entire orchestra I'm gonna say
Please Answer ASAP According to the table, which ordered pair is a local maximum of the function, f(x)? (0, 64) (3, –35) (5, 189) (2, 0)
Simplify the expression
7 + 10(x + 8)
Answer:
87+10x
Step-by-step explanation:
7 + 10(x + 8)
7 + 10x+80
87+10x
I hope this helps :)
A rabbit population is modeled by y = 20/1+4e^-0.5t, where y is the number of rabbits after t months. How many rabbits were there initially?
1
4
20
50
Answer:
It's B 4
Step-by-step explanation:
i just took the test
Answer:
4
Step-by-step explanation:
The ratio of white cars in the parking lot to
black cars is is 5 to 7. The number of white
cars is 24 less than the number of black cary
How many black cars are there?
Answer:84
Step-by-step explanation:
you multiply each side by 12. That gets you 60 white cars and 84 black cars. 60 is 24 less than 85
1. M=? J=? K=?
2. N=?
3. ( did not know how to crop, please ignore this question! )
Thank you so much!
Answer:
See Explanation
Step-by-step explanation:
m = 46° (vertical angles)
j = 92° (vertical angles)
j + k + 46° = 180° (staright line angles)
92° + k + 46° = 180°
138° + k = 180°
k = 180° - 138°
k = 42°
n = 37° + 44° = 81°
2x=y=6
X+2y=-2
Solving system of equations
how do i graph negative square roots on a number line
Answer:
see below
Step-by-step explanation:
On the real number line you can't
to graph them you have to make a Cartesian plane
with x= the real numbers
and y= the imaginary numbers
Need help with this problem
Answer:
Step-by-step explanation:
2x + 1 + x + 23 = 180
3x + 24 = 180
3x = 156
x = 52
2(52) + 1 = 104 + 1 = 105
52 + 23 = 75
Probability.
!!!!!!!!!!!!!!
will mark brainliest
Answer:
2/9ths hope this helps!
Please mark brainliest.
Step-by-step explanation:
HELP ME!!! THIS IS THE LAST QUESTION ON MY HOMEWORK
POSSIBLE POINTS: 1
Which of the following situations involve opposite quantities combing to make 0 ?
Stella has a new piggy bank. She adds 3 quarters on Tuesday and then adds another 3 quarters on Thursday.
Devon opens a new checking account with $30. His first purchase made with his new debit card, totals $28.
Joe makes 1 1/2 liters of lemonade and drinks it all during the afternoon.
Brittany is writing a novel. She wrote 4 new pages to finish Chapter 1. When she reviews Chapter 1, she discards these 4
pages and an additional 4 pages.
Answer:
2) Joe makes 1 1/2 liters of lemonad and drinks it all during the afternoon.
Step-by-step explanation:
1.5 - 1.5=0
11. Point A(-2,9) is rotated 180 degrees what is the value of A'? *
A (-9,-2)
A'(-2,-9)
A (9,2)
A(-9,2)
O A' (2,-9)
HELPPP QUICK
It should be (2, -9). When rotating 180° you always make the x and y the opposite, so you take the opposite of -2 and the opposite of 9 to get (-2, 9). Hope this helps!
A student runs 100 meters in 11 seconds. What is the speed of the student in miles?
Answer:
0.00565 miles / second
Step-by-step explanation:
1 mile = 1609.344 meters
100 meters = 100/1609.344 = 0.0621 miles (aprox)
100 meter/ 11 seconds = 0.0621miles / 11 seconds
= 0.00565 miles / second