Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2
Answers
The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Given:
[tex]an = \frac{an - 1}{4} - 2[/tex]
where,
n = number of terms
First term, a1 = 2
Second term, a2
[tex]an = \frac{an - 1}{4} - 2[/tex]
a2 = {(2 - 1)/ 4} - 2
= 1/4 - 2
= (1-8) / 4
= - 7/4
Third term, a3
= {(3-1) / 4} - 2
= 2/4 - 2
= 1/2 - 2
= (1-4) / 2
= -3/2
Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
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Answer:
a1 = 2
a2 = -3/2
a3 = -19/8
Explanation:
a_n-1 means the last term.
So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2
It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8
Related Questions
5) If 5 times a number is increased by 4, the result is at least 19. Find the least possible
number that satisfies these conditions.
Answers
Answer:3
Step-by-step explanation:
5x3=15
15+4=19
x/5 - 74 = 26
what is x
Answers
Step-by-step explanation:
x/5 - 74 = 26
x/5 = 26 + 74
x/5 = 100
x = 100 x 5
x = 500
Is 1 1/30 more or less then 1 1/2 gallons
Answers
Answer:
less
Step-by-step explanation:
I need help with this math help please!
Answers
Answer: R= 7
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf t = 7}[/tex]
Step-by-step explanation:
-8 (4 - t) = 24
-32 + 8t = 24
Add 32 to both sides
8t = 24 + 32
8t = 56
Divide both sides by 8
t = 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807. A circulating pump consumes 450 W for 24 hr a day. a. Determine the energy consumed for a one-year period. b. Calculate the utility energy charges for this period at a rate of $0.12/kWh. c. Determine the energy saved for a one-year period, if the pump is switched off 8 hr a day. d. Calculate the energy cost savings for this period at a rate of $0.12/kWh, if the pump is switched off 8 hr a day.
Answers
Answer:
a. 3942 kWh
b. $473.04
c. 1314 kWh
d. $157.68
Step-by-step explanation:
a.There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...
(0.45 kW)(24 h) = 10.8 kWh . . . . energy per day
Then in a 365-day year, the energy used is
(365 da/yr)(10.8 kWh/da) = 3942 kWh/yr
__
b.At the rate of $0.12/kWh, the cost of running the pump is ...
($0.12/kWh)(3942 kWh/yr) = $473.04/yr
__
c.Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):
1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump
__
d.The savings will be 1/3 of the cost of running the pump full time:
1/3($473.04/yr) = $157.68/yr
If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?
Answers
Answer:
$200
Step-by-step explanation:
If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.
helpp :(
Habib rides his bike to school. This describes his trip:
A. Rides toward school
B. Stops to wait for a friend
C. Rides the rest of the way to school
Drag one segment to each box to show the shape of the graph of Habib's distance from home for each interval of time.
Answers
Answer:
see
Step-by-step explanation:
help please!!!!! I need it
Answers
Answer:
it is 7x-4
Step-by-step explanation:
Can someone please guide me step by step to sum the answer of the equation 5x(6)-10 ?
Answers
Answer:
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
Answer
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
How do you know 72/80 is greater than 7/8? Explain
Answers
Answer:
Step-by-step explanation: I know that 72/80 is greater than 7/8 because when we make 7/8 as the same denominator as of 72/80 it is only 70/80 which is smaller than 72/80.
Eugene is purchasing clothing to make different outfits. Each outfit consists of a top, a bottom and a pair of shoes. Eugene found 2 pairs of shoes and 4 bottoms he would like to purchase. What is the minimum number of tops Eugene needs to purchase to make at least 35 different outfits? Express your answer as a whole number.
Answers
Answer:
70
Step-by-step explanation:
What is greater 7 or -7
Answers
Hello there!
7 is greater than -7, because positive numbers are always greater than negative ones.
a>-a
The > sign means "greater than"
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
BRAINLIEST!Blake is the Human Resources manager for a correctional facility. What is one task that Blake might have as part of his job?
A.
confirming appointments for the director of the facility
B.
looking over the costs of new supplies for the facility
C.
mediating a dispute between two employees
D.
organizing the outdoor video surveillance of the facility
Answers
Answer:
Organising the outdoor video surveillance
Step-by-step explanation:
See he is a manager.
His work is to take care of all resources of companyVideo surveillance must be used for security75% of 32 students are interested in Mathematics. How many are not interested in Mathematics ?
Answers
Answer:
The answer is 8!
Step-by-step explanation:
75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)
Alternative method:
Percentage of students who are interested in Mathematics = 75%Then, percentage of students who are not interested in Mathematics = (100 - 75)% = 25%Therefore, number of students who are not interested in Mathematics [tex] = 25\% \: \: of \: \: 32 \\ = \frac{25}{100} \times 32 \\ = \frac{1}{4} \times 32 \\ = 1 \times 8 \\ = 8[/tex]Answer:
8
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\sqrt{\frac{15}{6} }[/tex]
Simplify, and show work please :D
Answers
Hello! :p
Simply 15/6 to 5/2 = [tex]\sqrt{5/2}[/tex]
2. Simply again [tex]\sqrt{5} \\\sqrt{2}[/tex]
3. rationalize the denominator so 5/2 times 2/2 [tex]\sqrt{5} \sqrt{2} \\ ---\\2[/tex]
4. Simply [tex]\sqrt{5} \sqrt{2}[/tex] to [tex]\sqrt{10}[/tex]
answer: [tex]\sqrt{\frac{10}{2} }[/tex]
Hope this helps! Have a wonderful day1 :)
Sorry, I had a hard time finding all the symbols, so I had to get creative!
How do I solve this please look for the x and then the y
Answers
Answer:
x + y = 75
Step-by-step explanation:
2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is
2x - 5 + 75 = 180
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Then
2x - 5 = 2(55) - 5 = 110 - 5 = 105
2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so
4y + 25 = 105 ( subtract 25 from both sides )
4y = 80 ( divide both sides by 4 )
y = 20
Then x + y = 55 + 20 = 75
What should the IUPAC name for a binary covalent compound lack? prefixes Roman numerals an -ide ending the name of a nonmetal.
Answers
The IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.
A binary compound is a compound that is composed of only two elements. Many binary compounds could be made up of a metal and a nonmetal or even two nonmetals as the case may be. Examples of binary compounds include; SO2, NaH, K2S etc.
We must note that a binary covalent compound uses Roman numerals to indicate the oxidation state of the central atom in the compound. For instance, SO2 is called Sulfur IV oxide.
Hence, the IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.
Lear more about IUPAC: https://brainly.com/question/11587934
A can contains 48 cups of fruit juice. How many gallons of fruit juice does the can contain?
Answers
Answer:
3
Step-by-step explanation:
help!! due tommorrow
Answers
Answer:
a and d
Step-by-step explanation:
these simplify to .77 for A and .81 for B
The product two consecutive odd numbers is 63find the number
Answers
Answer:
These results, 7 and 9, have a product of 63, as stated.
Step-by-step explanation:
Represent the first odd number by x and the first consecutive odd number by x + 2. Then the product of these two numbers is x(x + 2) and it equals 63.
Solve for x. Perform the indicated multiplication, obtaining
x^2 + 2x - 63 = 0
Solve this by factoring: (x + 9)(x - 7) = 0
Then x could be either -9 or +7. If we let x = 7 then the first consecutive odd number is 7 + 2, or 9. These results, 7 and 9, have a product of 63, as stated.
Ben worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40
Answers
Explanation:
Ben : 5 • x = 5x
Julie: 8 • 2x = 16x
Phil: 10 • (2x - 4) = 20x - 40
Add them all together:
5x + 16x + 20x - 40
= 41x - 40
: If 10 less than 5 times a number is two more than 3 times the number, then the number is
Answers
Answer:
x = 1Step-by-step explanation:
If 10 less than 5 times a number is two more than 3 times the number, then the number is
10 - 5x = 2 + 3x
10 - 2 - 5x - 3x = 0
8 - 8x = 0
x = 1
---------------
check
10 - 5 * 1 = 2 + 3 * 1
5 = 5
the answer is good
The original price of a camera was 7200.00. I
was given a discount of 36%. How much did I pay for
the camera?
Answers
Answer:
$4,608.00
Step-by-step explanation:
Subtract 36% from 7,200 and you get 4,608.
find the volume of this prism
Answers
Answer:
264 cm³
Step-by-step explanation:
I would appreciate it if you can help me with this.
Answers
Answer:
[tex]450000 \leqslant 15000 + 4t[/tex]
is the equation in the picture true or false?
Answers
Answer:
false
Step-by-step explanation:
I hope this helps!!
1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??
Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .
Answers
Answer:
[tex]to \: know \: the \: answer \: [/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps you XD ✌️Carry on learning !!PLEAZEEE HELP ME PLS WILL GIVE BRAINLIEST
Answers
Answer:
2q+7r+8
Step-by-step explanation:
(q+3)+(q+2)+(7r+3)
Brainliest is very apprieciated!
Write an expression that is equivalent to -3(2x+5)-3x+6
Answers
Answer:
-9x - 9
Step-by-step explanation:
Combine like terms.
-3 • 2x= -6x. -3 • 5= -15
-6x - 15 - 3x+ 6
-9x - 9
the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!
Answers
Answer:
88
Step-by-step explanation: