g(n) = 1 + 5(n - 1)
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+
Answers
Answer:
Hi... U should do like this
The recursive formula will be g(n) = g(n-1) + 5
What is recursive formula ?"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:
The first term of the sequence.
The pattern rule to get any term from its previous term.
Recursive Formula for Arithmetic Sequence
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
where
an is the nth term of a A.P.
d is the common difference."
Given,
[tex]g(n) = 1 + 5(n-1)[/tex]
Let the remaining term be x
Now,
[tex]g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5[/tex]
So, [tex]g(n) = g(n-1) + 5[/tex]
And, [tex]g(1) = 1 + 5(1 - 1) + 5[/tex]
[tex]g(1) = 6[/tex]
Hence, [tex]g(1) = 6[/tex] and [tex]g(n) = g(n-1) + 5[/tex]
To know more about recursive formula here
https://brainly.com/question/8972906
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Related Questions
A class has 17 girls and 4 boys. A teacher needs something from the front office, so selects a student at random to go. Before that student comes back, another teacher drops in and selects another student at random for another task. What is the probability that a girl was selected both times?
Answers
Answer:
I think it's like 81%
Step-by-step explanation:
17 /21=.809
What is 12r + 5 + 3r - 19
Answers
The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in the a:b form)
Answers
Answer:
58:28
Step-by-step explanation:
simplified its 29:14!
7. Find the inverse of f(x) = 4x^3 + 8.
Answers
Answer:
The inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is determined to be [tex]{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].
Step-by-step explanation:
In order to find the inverse of a function, we need to know a couple of rules about functions.
f(x) = yTo find the inverse, we flip the y-variable with the x-variables and solve for y.Following these rules, our function now becomes [tex]\displaystyle{x=4y^3+8}[/tex].
We now can simplify it further in order to find the value of x.
[tex]\displaystyle{x=4y^3+8}\\\\4y^3=x-8\\\\y^3=\frac{x}{4}-8\\\\\sqrt[3]{y^3}=\sqrt[3]{\frac{x}{4}-8} \\\\y = \sqrt[3]{\frac{1}{4}x-8}\\\\f^{-1}(x)= \sqrt[3]{\frac{1}{4}x-8}[/tex]
Therefore, the inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is [tex]\displaystyle{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].
Answer:
[tex]\huge\boxed{f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}}[/tex]
Step-by-step explanation:
In order to find the inverse of a function, we need to follow a series of steps.
1. Write the function in the form [tex]y=ax^b+c[/tex]
2. Swap where the x and y values are
3. Solve for y
4. Convert into [tex]f^{-1}(x)[/tex] form
So first, we can write [tex]f(x)=4x^3+8[/tex] as [tex]y=4x^3+8[/tex].
Now we need to swap where the x and y variables are. This makes our equation [tex]x=4y^3+8[/tex].
To find the inverse, we now need to solve for y in this equation.
[tex]x=4y^3+8[/tex] Subtract 8 from both sides:[tex]x-8 = 4y^3[/tex] [tex]4y^3 = x-8[/tex] Divide both sides by 4:[tex]y^3 = \frac{x-8}{4}[/tex] Take the cube root of each side: [tex]y = \sqrt[3]{\frac{x-8}{4}}[/tex] Convert into [tex]f^{-1}(x)[/tex] form [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex]Therefore, the inverse of this function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex].
Hope this helped!
Geppetto is a puppet maker. When the month started, Geppetto had 6 puppets ready to sell. On the ninth day, he had 69 puppets finished.
Answers
He made 7 puppets per day for nine days plus that 6
2.4 x 10^2 and 2.4 x 10^3 expressed in scientific notation?
Answers
Answer:
.024 and .0024
Step-by-step explanation:
move the decimal over the amount of spaces that is the exponent.
c=(q+k/3)m for q Solve for q.
Answers
Answer:
(3 -mk)/3m=q
Step-by-step explanation:
Can someone help me with this question thx
Answers
Answer:
D. 3
Step-by-step explanation:
3x−2y=−6
solve for y
-2y=-3x-6
y= 3/2x+3
y=mx+b
b= y intercept --> b = 3
Aubrey’s monthly bank statement shows a total of $51 in fees for ATM withdrawals. If Audrey made 17 withdraws, what is Audrey charged for each withdrawal?
Answers
Answer:
Audrey was charged $3 for each withdrawal.
Step-by-step explanation:
We have to calculate the amount of money charged on one transaction.
In order to find the amount for one ATM withdrawal, the total amount for ATM withdrawals will be divided by number of withdrawals.
Given
[tex]Total\ ATM\ withdrawal\ fees = \$51\\Total\ withdrawals = 17\\Amount\ for\ one\ withdrawal = \frac{Total\ fees}{No.\ of\ withdrawals}\\= \frac{51}{17}\\= \$3[/tex]
Hence,
Audrey was charged $3 for each withdrawal.
work out (-5)2
I will mark brainest but the answer has to be right
Answers
(-5) 2 would be -10
explanation:
(-5) 2 is the same thing as -5 * 2
-5 * 2 is -10
What is the best of these four methods to estimate of the total cost of four items priced at $5.65, $7.80, $3.25, and $4.99?
Answers
Answer:
use a calculator that should help u so much
HELP PLZ FIRST TO ANSWE GETS BRAINLIEST
Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants
to be paid at least $500. Which inequality can be used to find the number of sales she
needs to make?
O A. 100 - 15x < 500
OB. 100 + 15x < 500
O C. 100 - 15x 2 500
OD. 100 + 15x 2 500
Answers
Hey there!
I think the answer is B.
A gallon of gas costs $2.73. Walter pays for 24 gallons of gas. He gives the clerk $80.00. How much change should Walter receive after paying for the gas?
Answers
step by step explanation:
you’d multiply 2.73 by 24;
2.73 x 24= 65.52
then you would subtract $80 and 65.52
when you subtract the answer you get is $14.48
hope this helps
He would pay $14.48
To get this answer you would need to multiply $2.73 by 24 and subtract by $80.
Tylers brother earns a commission. He makes 3.4% of the amount he sells. Last week, he sold $760 worth of shoes. How much was his commission?
Answers
Answer:
Step-by-step explanation:
760*3.4%=25.84 in commission.
Answer:
25.84
Step-by-step explanation:
760*3.4%=25.84 in commission.
-27 - (-8)=
A -35
B -18
C 19
D 35
Answers
Answer:
The answer is -19
Step-by-step explanation:
-27 - (-8)=
-27+8
=-19
Answer:
C
Step-by-step explanation:
-27 - (-8) automatically becomes -27 + 8 because the two negatives cancel each other out. which then gives you -27 + 8 = 19.
An orthocenter is the intersection of three
angle bisectors in a triangle.
altitudes in a triangle.
medians in a triangle.
perpendicular bisectors in a triangle.
Answers
Answer:
Altitudes in a triangle
option 2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
PLEASE ANSWER THIS IS REALLY IMPORTANT!!!
Answers
Explanation: The y-intercept which is -9 matches with the equation and the slope matches too
PLEASE HELPP THIS IS IN A DIFFERENT language TO MY BRAin I swear My brain is LagGiNg RN
Answers
Answer:
A
Step-by-step explanation:
the first number in slope intercept is the slope and the second number is the y-intercept
Answer:
The answer is Choice a
Step-by-step explanation:
Omar has a gift card for $25 at a clothing store. He wants to buy socks that cost $4 per pair. He also has a coupon for $5 off his entire purchase. Omar wants to know how many pairs of socks he can buy. Write and inequality that represents the situation.
Answers
Answer:
4x ≤ 30
Step-by-step explanation:
Omar gets 30 dollars off because $25 + $5 = 30. Let x = pairs of socks
We know each pair costs $4, so the cost would be 4x. Omar has to buy as many pairs as he can with only the coupon and gift card. Omar has to spend $30 (the full discount) or less than $30. Therefore, the inequality would be: 4x ≤ 30 or 4x is less than or equal to 30 ($30).
Answer: 4p-5_<25
Step-by-step explanation:
i got i right
the cost of a family membership at a health club $58 per month plus a one time 129 start up fee . if a family spent 651 , how many months is their membership?
Answers
Answer:
9 months
Step-by-step explanation:
651=58x+129
-129 -129
522=58x divide 522 by 58
=9
What is the equation in slope-intercept form for the graph shown? *
N
0
F. y + x = -3
G. y = 3x + 1
H. y - 3x = 1
I. y = - 3x + 1
Answers
Answer:
I
Step-by-step explanation:
The answer is y = -3x+1. If you need an explanation, just ask.
an item is regularly priced at $55 it is priced at a discount of 40 off regular price what is a percent now
Answers
Answer:
Thus, a product that normally costs $55 with a 40 percent discount will cost you $33.00, and you saved $22.00. You can also calculate how much you save by simply moving the period in 40.00 percent two spaces to the left, and then multiply the result by $55 as follows: $55 x . 40 = $22.00 savings.
Step-by-step explanation:
Write the equation of the line through (3,9) and (-2,9)
Answers
Answer:
y = 9
Step-by-step explanation:
y-y1 = m(x-x1)
m is the slope =y2-y1/x2-x1=9-9/-2-3=0
pick any number out of the given two for (x1, x2)
y-9 = 0*(x-3) so
y-9 = 0 add 9 to both sides
y = 9
Please I need a answer fast
Answers
solution
X + k
X - 2k
=X+k-x-2k
=x-x+k-x-2k
=0-k
=-k
or,
1
k
Ms. Cohen is buying supplies for her kindergarten class room. she can spend at most $30. she wants to buy boxes of crayons that cost $2 per box. she also buys a poster for $5. mrs.Cohen wants to know how many boxes of crayons she can buy.
Answers
Answer:
Ms. Cohen can buy 12 poxes of crayons.
Step-by-step explanation:
Ms. Cohen can buy 12 boxes of crayons with the rest of her money. In the question it states she only wants to buy 1 poster not more than one so if she buys 1 poster that's
30-5-25
and than you can just count up by 2 till you get the closest to 25
25-24=1$
24/2 = 12
Hope this helps.
The number of boxes of crayons that can be bought is needed.
The number of boxes that can be bought at most is 12.
Linear inequalitiesLet [tex]x[/tex] be the number of boxes of crayons
Total amount of money = $30
Cost of one box = $2
Cost of poster = $5
The linear inequality will be
[tex]2x+5\leq 30\\\Rightarrow x\leq\dfrac{30-5}{2}\\\Rightarrow x\leq 12.5[/tex]
Learn more about linear inequality:
https://brainly.com/question/18881247
Someone help please I can give brainlist?
Answers
Answer:
-2.4f - 21
Step-by-step explanation:
Xochitl has saved $201.60. Yamka has saved LaTeX: \frac{2}{3}2 3 the amount Xochitl saved. Zack has saved 1.5 times the amount Yamka saved. How much have they saved all together?
Answers
Answer:
$537.60
Step-by-step explanation:
Xochitl has saved $201.60.
Yamka has saved 2/3 the amount Xochitl saved.
The amount Yamka has saved us calculated as:
2/3 × $201.60
= $134.40
Zack has saved 1.5 times the amount Yamka saved.
The amount Zack has saved is
1.5 × $134.40
= $201.60
How much have they saved all together?
This is calculated as:
$201.60 + $134.40 + $201.60
= $537.60
Which number line represents the solutions to |x - 2|= 6?
Answers
Answer:8 and -4
Step-by-step explanation:
[x-2]=6 ,x-2 =6 ,x=8 and x-2=-6 ,x=-4
The formula used to calculate simple interest is modeled by I=prt, where I=simple interest, p=principle, r=interest rate, and t=time, measured in years. Which of the following options represent(s) an alternative equivalent version of the simple interest formula? Select all that apply
Answers
Answer:
I know it may be a little late but
here is the answers
t=l/rp
p=l/rt
l=trp
Hope this helps c:
Find the value of in the triangle shown below
9, 7, and x around the triangle
Answers
Answer:
Step-by-step explanation: 56
Answer:
130 is correct
Step-by-step explanation: