Answers
The next term in the sequence is obtained by subtracting 4 from the previous term:
13 = 17 - 4
9 = 13 - 4
5 = 9 - 4
and so on.
Recursively, we can describe the n-th term in the sequence (denoted a(n)) as a function of the (n - 1)-th term:
a(n) = a(n - 1) - 4
starting with a(1) = 17. So we have, for instance,
a(2) = a(1) - 4 = 17 - 4 = 13
We want to find an explicit formula for a(n), meaning we want a way to determine the n-th term only as a function of n, and not any other known term in the sequence. We can iteratively apply the recursive rule above:
a(n) = a(n - 1) - 4
a(n - 1) = a(n - 2) - 4
→ a(n) = (a(n - 2) - 4) - 4 = a(n - 2) - 2×4
a(n - 2) = a(n - 3) - 4
→ a(n) = (a(n - 3) - 4) - 2×4 = a(n - 3) - 3×4
a(n - 3) = a(n - 4) - 4
→ a(n) = (a(n - 4) - 4) - 3×4 = a(n - 4) - 4×4
and so on, down to
a(n) = a(1) - (n - 1)×4
The first term is a(1) = 17, so
a(n) = 17 - 4 (n - 1) = 21 - 4n
Related Questions
find the measure of
Answers
Answer:
105°
Step-by-step explanation:
Answer:
X=105 degrees
Step-by-step explanation:
180-50-80=50degrees
angle to the bottom left of X is 50degrees
180-90-65=25degrees
angle to the bottom right of X is 25 degrees
180-25-50=105 degrees
X=105degrees
if there are 45 seats in 9 rows how many seats are in 1 row.
Answers
Answer: Their is 5 seats in 1 row.
Step-by-step explanation: 9x5=45 and 45÷9=5
A person on a moving sidewalk travels 12 feet in 4 seconds. The moving sidewalk has a length of 120 feet. How long will it take to move from one end to the other?
Answers
Answer:
40 seconds
Step-by-step explanation:
120/12 = 10
10*4 = 40
THEREFORE 40 seconds to walk 120 feet at that speed
The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE
Answers
Answer:
y=x+2
Step-by-step explanation:
y=mx+b, m=1, x=-6, y=-4
-4=(1)(-6)+b
-4=-6+b
2=b
y=x+2
This equation has one solution.
5(x - 1) + 3x = 7(x + 1)
VA
What is the solution?
Answers
The decorating committee for a
school banque decides to put flower
arrangements on cach table. Each
arrangement will have 3 white
carnations and 5 yellow carnations.
The committee will need 60 white
carnations. What is the total numbe
of white and yellow carnations the
committee will need?
Answers
The ratio is 3:5 of white to yellow.
They need 60 white which means they times by 20. So 20x5=100 they will need 100 yellow. In total they need 160
what’s the answer? i need it asap please
Answers
Answer:
D
Step-by-step explanation:
Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!
Answer:
8x+30+4x+18=180
12x+48=180
180-48=12x
132=12x
x=132/12
x=11
Add parentheses to the expression so that its value is 45:
5 × 4 + 8 - 3
no parentheses are needed
5 × (4 + 8 - 3)
5 × (4 + 8) - 3
5 × 4 + (8 - 3)
Answers
Answer:
first one
Step-by-step explanation:
anyone know the answer to this? :))))
Answers
Hello!
[tex]\large\boxed{x = 17}[/tex]
[tex]\sqrt{x -1} + 5 = 9[/tex]
Begin by subtracting 5 from both sides:
[tex]\sqrt{x -1} = 9 - 5\\\\\sqrt{x -1} = 4[/tex]
Square both sides to get rid of the radical:
[tex]x - 1 = 16[/tex]
Add 1 to both sides to completely isolate for x:
[tex]x = 17[/tex]
When you add 98 to a number you usually...
Answers
Aneser:
+98
Step-by-step explanation:
when you are adding something to something to something else u put a plus sign to add it hope this helps
Anyone please please answer (30points)
Answers
Answer:
Look in explanation
Step-by-step explanation:
for each k(x) value, plug the x into the given equation
-4: 1/2 (-4) -1 = -2-1=-3
all are solved this way
-2: -2
0: -1
2: 0
4: 1
ordered pair will be (x, (k(x))
for example (-4, -3)
do this for all other points
slope can be found by taking the change in y over change in x
so -2- -4 divided by -2 - - 3 = 2/1 = 2
slope = 2
hope that makes sense
Lena purchased a prepaid phone card for $20. Long distance calls cost 14 cents a minute using this card.
Lena used her card only once to make a long distance call. If the remaining credit on her card is S18.04, how
many minutes did her call last?
|minutes
?
Answers
Answer:
havenche ai polld pener es quanto
Step-by-step explanation:
1/9 blank exponent 2
Answers
Answer:
I think you mean 1/9^2. That would be 1/81 or 0.01234567 .
Step-by-step explanation:
Please help!!!! Select the correct location on the graph.
Graph the point that has the coordinates
Answers
Answer:
Its the one on the left
Step-by-step explanation:
find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour
Answers
Answer:
36 miles (b+C) (3)of rate
There are 8 bones in a large snake for 3 bones in a small snake. The small snake has 150 bones. How many bones does the large snake have?
Answers
Answer:
400!
Step-by-step explanation:
150/3= 50
50*8=400
Answer:
XD lol
Step-by-step explanation:
6/n = 9/24 n=?
I need help, please show steps.....
Answers
Answer:
n=16
Step-by-step explanation:
6n=9246n=924 nn
Write the problem as a mathematical expression.
6n=9246n=924 nn
Cancel the common factor of 99 and 2424.
Factor 33 out of 99.
6n=3(3)246n=3(3)24
Cancel the common
Factor 33 out of 2424.
6n=3⋅33⋅86n=3⋅33⋅8
Cancel the common factor.
6n=3⋅33⋅86n=3⋅33⋅8
Rewrite the expression.
6n=386n=38
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
6⋅8=n⋅36⋅8=n⋅3
Solve the equation for nn.
Rewrite the equation as n⋅3=6⋅8n⋅3=6⋅8.
n⋅3=6⋅8n⋅3=6⋅8
Multiply 66 by 88.
n⋅3=48n⋅3=48
Divide each term by 33 and simplify.
Divide each term in n⋅3=48n⋅3=48 by 33.
n⋅33=483n⋅33=483
Cancel the common factor of 33.
Cancel the common factor.
n⋅33=48
Which linear equation is represented by the table?
x −2 1 3 6
y 7 4 2 −1
Answers
Answer:
help calll me daddy
Step-by-step explanation:
Which graph represents a linear function?
Answers
Answer:
Graph two would be the answer because it is not curving.
Step-by-step explanation:
The scatter graph shows the scores of 16 students on the biology and physics tests
Answers
Step-by-step explanation:
85 l don't see questions properly so l knew this much only l don't know exact answer so l write this answer
What is the poH of a
8.4 x 10-11 M OH solution?
Answers
Answer:
p O H = 10.08
Step-by-step explanation:
Answer:
10.08
Step-by-step explanation:
Acellus sucks
13 less than the product of a number and 6 is 5
Answers
Answer: Excuse me, what do you mean "and 6 is 5?"
Step-by-step explanation:
A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?
Answers
Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides
Without the pass, the cost per ride is 2.00 per ride.
With the pass, the cost per ride is 1.25 per ride plus 15.75 per month.
You want to know at what number of rides does the cost per ride using the pass become cheaper than the cost per ride without using the pass.
The formula for total cost is as follows:
without the pass:
C1 = 2*x
with the pass:
C2 = 15.75 + 1.25*x
You want to know when C2 becomes less than C1.
C2 < C1 is the inequality equation you are looking for.
Since C2 = 15.75 + 1.25*x, and C1 = 2*x, this equation becomes:
15.75 + 1.25*x < 2*x
Subtract 1.25*x from both sides of this equation to get:
15.75 < 2*x - 1.25*x which becomes:
15.75 < .75*x
Divide both sides of this equation by .75*x to get:
15.75/.75 < x
Simplify to get:
21 < x
21 < x is the same as x > 21.
Your answer is the C2 becomes cheaper than C1 when x > 21.
If you make x = 21, then:
C1 = 2*21 = 42
C2 = 15.75 + 1.25*21 = 15.75 + 26.25 = 42
They are equal.
If you make x = 22, then:
C1 = 2*22 = 44
C2 = 15.75 + 1.25*22 = 15.75 + 27.5 = 43.25
43.25 is cheaper than 44 so C2 is cheaper than C1, confirming that the equation is good.
help now plz just help plzzz
Answers
Answer:
there is no problem
Step-by-step explanation:
sorry
What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?
Answers
Answer:
you can use decimals
Step-by-step explanation:
pls solve ASAP brain list to first and correct
Answers
given h(x)=-x-3, find h(-6)
Answers
Answer:
h(-6) = 3
Step-by-step explanation:
h(x) = -x - 3
h(-6) = -(-6) - 3
h(-6) = 6 - 3
h(-6) = 3
10 Select the answer from the menu.
The equations y = 7x – 2 and 14x – 2y = 3 represent
(A) parallel lines
(B) perpendicular lines
(C) the same line
(D) intersecting, non-perpendicular lines
Answers
Answer:
Parallel lines
Step-by-step explanation:
The standard form of equation of a straight line is expressed as:
y = MX+c
m is the slope
Given the equations
y = 7x – 2
On comparison;
m = 7 i.e the slope of the line is 7
For the line 14x – 2y = 3
First write in standard form
-2y = -14x +3
y = -14x/-2 + 3/-2
y = 7x- 3/2
Hence the slope is also 7
Since both equations have the same slope hence they are parallel lines(Parallel lines have the same slope)
find the sum or difference of 2/3 + 5/6
Answers
Answer:
The sum would be
[tex]\frac{3}{2} [/tex]
The difference would be
[tex] \frac{2}{3} - \frac{5}{6} = - \frac{1}{6} \\ \\ or \\ \\ \frac{5}{6} - \frac{2}{3} = \frac{1}{6} [/tex]
Given:
g(x) = 5 – 6x
Find:
g(5)
Answers
g(5) = 5 - 6(5)
g(5) = 5 - 30
g(5) = -25