An arithmetic sequence has this recursive formula: a1=8 an=an-1-6 what is the explicit formula for this sequence
Answers
Answer:
D
Step-by-step explanation:
a p e x
The explicit rule of the sequence is (d) [tex]a_n = 8-6 (n -1)[/tex]
How to determine the explicit formula?The sequence is given as:
a1 = 8
[tex]a_n = a_{n-1} - 6[/tex]
Set n = 2
[tex]a_2 = a_{1} - 6[/tex]
This gives
a2 = 8 - 6
a2 = 2
Calculate the common difference (d)
d = a2 - a1
This gives
d = 2 - 8
Evaluate
a = -6
The explicit formula is then calculated as:
[tex]a_n = a_1 + (n -1)d[/tex]
This gives
[tex]a_n = 8-6 (n -1)[/tex]
Expand
[tex]a_n = 8-6n +6[/tex]
Evaluate the like terms
[tex]a_n = 14-6n[/tex]
Hence, the explicit rule of the sequence is (d) [tex]a_n = 8-6 (n -1)[/tex]
Read more about sequence at
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Related Questions
PLEEEAASSEEEEE HELPP
‼️‼️‼️‼️‼️‼️‼️‼️
determine whether each graph represents a function. yes or no for each graph
Answers
Answer:
yes no yes no yes no yes no
Answer:
1 yes 2 yes 3 no
Step-by-step explanation:
1 and 2 pass the vertical line test and 3 doesnt it intersects in two places
A 12 pack of ice-cream sandwiches cost $7.20 and a 9 pack of ice-cream sandwiches costs $4.50. Which package of ice-cream sandwiches is the better buy?
Answers
Answer:
the 9 pack
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Y=-2x + 1
What is the value of y? (-5,___)
Answers
Answer: y=−2x+1
Step-by-step explanation:
I don't understand how to solve this problem. could someone please explain the steps to solve by factoring the polynomial? 49k^4 - 9
Answers
The roots of the given polynomial are ±3/7 and ± [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].
What is a polynomial ?A polynomial has 2 or more than two terms connected by mathematical operations.A polynomial of degree n has n no. of roots real or imaginary.
A polynomial can be formed as a₁xⁿ + a₂xⁿ⁻¹ + a₃xⁿ⁻² + ...+ aₙx⁰.
According to the given question we have to solve a polynomial of degree 4.
Given, 49k⁴ - 9 = 0
49k⁴ = 9
k⁴ = 9/49
k² = 3/7
k = [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].
We know that a polynomial of degree n has n no. of roots.So a polynomial of degree 4 have 4 roots and they are ±3/7 and ± [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].
learn more about polynomials here :
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The record high temperature recorded one year was 93°F while the record low temperature that year was -21°F. How much warmer was the high temperature than the low temperature?
114°F
-72°F
-114°F
72°F
Answers
Answer:
114°F
Step-by-step explanation:
114 + -23 = 93
what is the answer to the problem
Answers
Can someone help me plz I will mark brainliest
Answers
each side of a square family room is 6 meters long. What is the family room's area?
Answers
Answer:
36
Step-by-step explanation:
since the formula for a square is length times width, and that is 6 x 6 which is 36
Plz mark as brainliest
a die is tossed 20 times. The results are shown in the frequency table below.
Find the experimental probablity of landing on 3.
Answers
Answer:
Step-by-step explanation:
experimental probability is
number of times 3 appeared / number of tooses you experimented
[tex]P_{3} = \frac{1}{6}[/tex]
-3x + 7 - 5x < 15 true
Answers
Answer:
x>-1
Step-by-step explanation:
Directions: Locate the following Irrational Numbers on a number line.
1. √13
2. √22
3. √47
4. √63
5. √72
Answers
The locations of each irrational numbers can be estimated as follows:
The irrational number √13 is close to 4 and greater than it. The irrational number √22 is close to 5 and less than it. The irrational number √47 is close to 7 and less than it. The irrational number √63 is close to 8 and less than it. The irrational number √72 is close to 8 and greater than it.How to locate irrational numbers on a number line
Irrational numbers are real numbers that are not rational, that is, numbers of the form m / n, where m and n are integers and n is different of zero. But it is also known that rational numbers can have an irrational-like presentation not being so (i.e. √4 = 2, √9 = 3). We can estimate the location of each irrational numbers in terms of rational numbers:
The irrational number √13 is between √9 = 3 and √16 = 4, where √13 is closer to 4.The irrational number √22 is between √16 = 4 and √25 = 5, where √22 is closer to 5.The irrational number √47 is between √36 = 6 and √49 = 7, where √47 is closer to 7.The irrational number √63 is between √49 = 7 and √64 = 8, where √63 is closer to 8.The irrational number √72 is between √64 = 8 and √81 = 9, where √72 is closer to 8.To learn more on irrational numbers: https://brainly.com/question/4031928
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The degree of - 7xy4 is?
Answers
Answer:
The degree of the polynomial is 5
Step-by-step explanation:
When we talk of the degree of a polynomial, we refer to the highest power
The highest power here is 4 but that is not the degree in this case
If we notice, there are two different variables attached to the number
One has a degree of 4 and the other has a degree of 1
What we do here is to add these degrees together
The addition of both is 5 and that is the degree of the polynomial
Whats an example of a linear relationship?
Answers
It is a straight line in a graphical format.
Answer:
For example a common equation, y=mx+b y = m x + b,is a linear function because it meets both criteria with x and y as variables and m and b as constants.
Step-by-step explanation:
The length of the base of a rectangle is 6 less than 3 times the width. The perimeter of the rectangle is 52 inches. What is the length of the base?
Answers
Answer:
The rectangle has a width of 18 inches and a height length of 8 inches.
Step-by-step explanation:
The perimeter of a rectangle is described by the equation:
[tex]p = 2w + 2l[/tex]
where l is width, h is height, and p is perimeter.
We're also told that the total perimeter is 52 inches.
We're also told that the length is six inches less than three times the width. We can express that as [tex]w = 3l - 6[/tex].
We can plug that definition of w into the perimeter equation to find the length:
[tex]p = 2w + 2l\\52 = 2(3l - 6) + 2 * l\\52 = 6l - 12 + 2l\\52 + 12 = 8l\\8l = 64\\l = 64/8\\l = 8[/tex]
Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:
[tex]p = 2w + 2l\\52 = 2w + 2(8)\\52 = 2w + 16\\36 = 2w\\w = 36 / 2\\w = 18[/tex]
So the width is 18
Find the domain, range, y intercept(s), intervals where the graph is positive, interval(s) where the graph is decreasing, and interval(s) where the graph is increasing
Answers
Step-by-step explanation:
It is worked out step by step.
What operation is being done to the variable in the equation -5m = -40?
It's being multiplied by -5.
It's being multiplied by -40.
It's being divided by -5.
It's being divided by -40.
Answers
Answer:
[tex]\textbf{It's being divided by -40}[/tex]
Step-by-step explanation:
-5m = -40
-5m/-40
hope it helps!
(I'll mark brainlist!)
A square has a side length of 6 inches. It is enlarged and the new side length is 18 inches. What is the scale factor?
A. 3
B. 1/3
C. 12
D. 1/12
Answers
Answer:
A. 3
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
someone help me with this proof please
Answers
Answer:
the first statement is: AB is congruent to DC.
reason: given
Step-by-step explanation:
im not sure about the others
A car can travel 24 miles for every 1 gallon of gasoline.
How many miles can the car travel on 9.8 gallons?
Answers
Solve -2 x + 6 = -20.
Answers
Answer:
x = 13
Step-by-step explanation:
Subtract 6 from both sides: -2x = -26
divide both side by -2 to isolate x: x = 13
Answer:
x = 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
-2x + 6 = -20
Step 2: Solve for x
Subtract 6 on both sides: -2x = -26Divide -2 on both sides: x = 13Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -2(13) + 6 = -20Multiply: -26 + 6 = -20Add: -20 = -20Here we see that -20 does indeed equal -20.
∴ x = 13 is the solution to the equation.
100 Points! If you do this for me! Need help :(
Answers
Answer:
#1. B
#2. D
#3. C
#4. statement A
#5. A
#6. C
#7. B
#8. D
#9. B
#10. D
#11. C
#12 & #13 & #14- sorry I dont get those
#15. A
Step-by-step explanation:
I did half of it, I'm sorry the rest like the stuff I'm doing in class rn and I don't get that stuff
Answer:
Brainliest to the guy above :)
Step-by-step explanation:
Find the value of the monomial. 5x^3 for x=0.5
Answers
Answer:
The correct answer is 166.375 or 166.4 when rounded to the nearest tenth.
Step-by-step explanation:
If x = 0.5, then 5x^3 = 5.5^3.
5.5^3 is the same as multiplying 5.5 by itself 3 times.
5.5 x 5.5 x 5.5 = 166.375 or 166.4 when rounded to the nearest tenth.
Hope this helps! :D
Answer:
0.625
Step-by-step explanation:
First, you do 0.5^3=0.125
then 0.125 * 5 = 0.625
25 POINTS WORTH
The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q is graphed at (n,-2). The distance from point P to point Q is equal to the distance from point P to point R. What is the distance from point P to point Q? What is the value of N? Explain how you determined the distance from point P to point Q, and the value of N.
Answers
Answer:
where is the picture?
Step-by-step explanation:
Answer:
...
Step-by-step explanation:
what's equivalent to (the picture)
2^96^3
2^63^2
2^43^2
2^123^3
Answers
Applying exponent properties, the simplified expression is given by:
[tex]2^{12} \times 3^3[/tex]
What is the simplified expression?The initial expression is given by:
[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}}[/tex]
First we simplify the roots, hence:
[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}} = (8^2 \times 6^2)^{\frac{3}{2}}[/tex]
6 and 8 can be factored as follows:
8 = 2³.6 = 2 x 3.Hence:
8² = 2^6.6² = 2² x 3².Then:
[tex](8^2 \times 6^2)^{\frac{2}{3}} = (2^8 \times 3^2)^{\frac{3}{2}} = \sqrt{2^{24} \times 3^6} = 2^{12} \times 3^3[/tex]
More can be learned about exponent properties at https://brainly.com/question/25263760
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I need help solve this problem
Answers
Answer:
i am not sure of my answer sorry can you make the question simpler maybe then I can answer it
Step-by-step explanation:
Find the sale price of the item. Round to two decimal places if necessary. Original price: $82.00 Markdown: 33%
Answers
Answer:
54.67 Dollars
Step-by-step explanation:
82 / 3 = 27.33, 82 - 27.33 = 54.67 :D
Answer:54.94
Step-by-step explanation:
hi just wanted to give u extra points and see if you liked my run off math project abt sporks
(run off of twilight forks)
Answers
Step-by-step explanation:
Wait that's really interesting, what grade did you get on it? (Thank you for the points.)
37/20 can someone turn it into a simplified fraction
Answers
Simplify the complex fraction shown below: 1/4 over 10/9
Answers
Answer:
9/40 or 0.225
Step-by-step explanation:
Marie is saving money for home repairs. To date, she has saved $1,195. She needs at least $1,483 for the repairs. She plans to set aside $32 per week to add to her current savings. If this situation is modeled by the inequality below, how many more weeks, x, does she need to continue saving in order to have enough money for the repairs?
Answers
Answer:
Number of weeks= 9
Step-by-step explanation:
First, we need to calculate the money required to reach the objective:
Money required= 1,483 - 1,195
Money required= $288
Now, we can determine the number of weeks left to accumulate $288 and get to $1,483:
Number of weeks= 288 / 32
Number of weeks= 9