Answers
Answer:
D
Step-by-step explanation:
A recursive formula lets us calculate a term in the sequence by multiplying the previous term by the common ratio r
for the sequence
- 3, 9 , - 27 , 81....
the common ratio r is
r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3
Then the recursive formula is
f(n) = - 3 f(n - 1) if n > 1
f(1) = - 3
option D
Answer:
D)
Step-by-step explanation:
A recursive formula always has two parts: the value of an initial term (or terms), and an equation defining [tex]a_n[/tex] in terms of preceding terms.
From inspection, the initial term is -3
[tex]\implies a_1=-3[/tex]
[tex]\implies f(1)=-3[/tex]
From inspection, we can see that each term is the preceding term multiplied by -3. Therefore, the sequence can be defined as:
[tex]a_n=-3(n-1)[/tex]
[tex]\implies f(n)=-3f(n-1)[/tex]
So the recursive formula for the sequence is D)
[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)}} \right.[/tex]
Related Questions
How much bigger is the area of a circle with a radius of 5 cm than a circle with a radius of 3 cm?
Answers
The area of a circle with a radius of 5 cm is 50.272 [tex]cm^2[/tex] bigger than a circle with a radius of 3 cm.
Given the following data:
Radius A = 5 cm.Radius B = 3 cm.How to calculate the area of a circle.Mathematically, the area of a circle is given by the formula:
[tex]Area = \pi r^2[/tex]
Where:
r is the radius of a circle.For circle A:
[tex]Area = 3.142 \times 5^2\\\\Area = 3.142 \times 25[/tex]
Area = 78.55 [tex]cm^2[/tex].
For circle A:
[tex]Area = 3.142 \times 3^2\\\\Area = 3.142 \times 9[/tex]
Area = 28.278 [tex]cm^2[/tex].
Now, we can calculate the difference:
Difference = [tex]78.55-28.278[/tex]
Difference = 50.272 [tex]cm^2[/tex].
Read more on circle here: brainly.com/question/14478195
Which is the best estimate of 75.2 x 9?
Answers
Answer:
676.8
Step-by-step explanation:
#carry on learning
Solve the equation ( 32
3) (33) = 36
=
X
Answers
Answer: D. -30
Step-by-step explanation: EDGE 2022 I GOT 100%
Jeanne Williams sells welding equipment and is paid a commission of 9.5% on the first $25,000 of sales in a month and 12.4% of sales from $25,001 to $70,000 in a month. A commission of 15.1% is paid on all sales over $70,000 in a month. Her sales last month were $43,000 and $54,000 this month. What total commission earnings did Jeanne have for the two months?
Answers
Answer:$3,170 is the answer
Step-by-step explanation:
At the movies, Fred and his five friends bought some snacks. They each bought a small popcorn for $3.25. They bought 3 bags of candy to share for $2.50. 2 of the boys bought a soda for $3. Write the expression that you can use to find out how much money they spent at the movies on snacks.
Answers
3.25 • 5 + 2.50 • 3 + 2 • 3 = x
16.25 + 7.50 + 6 = x
29.75 = how much they spent all-together
Which step could be used to help isolate the variable in the following equation? 5. 6j – 0. 12 = 4 1. 1j.
Answers
For the expression 5.6j - 0.12 = 4 + 1.1j, the value of variable j is 0.92.
What is the property of equality?
The operations of addition, subtraction, multiplication, and division do not change the truth value of any equation is called the property of equality.
The given expression is 5.6j - 0.12 = 4 + 1.1j.
To solve the above expression, we will use the following steps.
Step 1:
By the subtraction property of equality, subtract 1.1j on both sides. We get the expression,
[tex]5.6j - 0.12 -1.1j = 4 + 1.1 j - 1.1 j[/tex]
[tex]4.5 j -0.12 = 4[/tex]
Step 2:
By the addition property of equality, add 0.12 on both sides. We get the expression,
[tex]4.5j -0.12 + 0.12 = 4 + 0.12[/tex]
[tex]4.5 j = 4.12[/tex]
Step 3:
By the division property of equality, divide the above expression by 4.5. We get the expression,
[tex]\dfrac {4.5j}{4.5 }= \dfrac {4.12}{4.5}[/tex]
[tex]j = \dfrac {4.12}{4.5}[/tex]
[tex]j = 0.92[/tex]
Hence we can conclude that the value of variable j is 0.92.
To know more about the property of equality, follow the link given below.
https://brainly.com/question/13130806.
What real value or values of x satisfy the equation x−2=√x
Answers
Answer:
[tex]x=1,\:x=4[/tex]
Step-by-step explanation:
[tex]x-2=\sqrt{x}\\\\(x-2)^2=x\\\\x^2-4x+4=x\\\\x^2-5x+4=0\\\\(x-1)(x-4)=0\\\\x=1,\:x=4[/tex]
x=1 and x=4 are real value or values of x satisfy the equation x−2=√x
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Equation is x−2=√x
We need to find for which values of x satisfy the equation.
x−2=√x
Take square on both the sides
(x-2)²=√x²
We know the algebraic identity
(a-b)²=a²+b²-2ab
(x-2)²=√x²
x²+2²-2(2)x=x
x²+4-4x=x
x²+4-4x-x=0
x²-5x+4=0
x²-4x-x+4=0
x(x-4)-(x-4)=0
(x-1)(x-4)=0
x-1=0
x=1
x-4=0
x=4
Hence, x=1 and x=4 are real value or values of x satisfy the equation x−2=√x
To learn more on Equation:
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Lindsey, Derek, and Tessa went on a 5-mile hike to see a huge waterfall. They put some snacks and water in a backpack before they started, and each person carried the backpack an equal distance during the hike.
How far did each person carry the backpack?
Write your answer as a proper fraction or mixed number.
Answers
Answer:2.5
Step-by-step explanation:5/2=2.5
The figure shows a rectangle ABCD where the diagonals AC and BD intersect at E.
Given that BEC = 52°, find
(I) ADB
(ii) ACD
Answers
Answer:
(i) 64°
(ii) 26°
Step-by-step explanation:
Answer:
(i) m<ADB = 64°
(ii) m<ACD = 26°
Step-by-step explanation:
I use this to mean the measure of angle ADC: m<ADC
(i)
m<BEC = 52°
<DEA and <BEC are vertical angles, so they are congruent.
m<DEA = m<BEC = 52°
Polygon ABCD is a rectangle. When the diagonals, AC and BD, of a rectangle are drawn, 4 triangles are formed. Each two opposite triangles are congruent, and all 4 triangles are isosceles.
Triangle ADE is an isosceles triangle with congruent sides ED and EA. That makes opposite angles ADB and DAC congruent. Also the sum of the measures of the angles of a triangle is 180°.
m<ADB + m<DAC + m<DEA = 180°
m<ADB = m<DAC; m<DEA = 52°
2m<ADB + 52° = 180°
2m<ADB = 128°
m<ADB = 64°
(ii)
Angles DEC and BEC form a linear pair. That means the angles are supplementary, and the sum of their measures is 180°.
m<DEC + m<BEC = 180°
m<DEC + 52° = 180°
m<DEC = 128°
Triangle DEC is an isosceles triangle with congruent sides ED and EC. That makes opposite angles ACD and BDC congruent.
m<ACD + m<BDC + m<DEC = 180°
2m<ACD + 128° = 180°
2m<ACD = 52°
m<ACD = 26°
plz help me please please
Answers
Answer:
x = 115° , y = 65° , z = 115°
Step-by-step explanation:
The figure is a parallelogram.
Consecutive angles are supplementary ( sum to 180° ) , then
x + 65° = 180 ( subtract 65° from both sides )
x = 115°
Opposite angles are congruent , then
y = 65°
z = x = 115°
Fiona enlarges a parallelogram that has a perimeter of 17 meters. A small parallelogram has a left side length of 3. 5 meters. A larger parallelogram has a left side length of 21 meters. Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73. 5 meters 102 meters 105 meters.
Answers
Answer:D
Step-by-step explanation:got it right on my test
Answer:
The answer is C i got a 100 on the test
Step-by-step explanation:
Han's cell phone plan costs $200 to start. Then there is a $50 charge each month.
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answers
Answer:
no. A proportional relationship has a starting value of 0.
Step-by-step explanation:
The starting value of 200 means the relationship cannot be proportional. The starting value is always zero in a proportional relationship.
Please answer this I’m tired as hell and I just want this to be over with
Answers
I've attached some theories related to angles have a look at it
Angle y and angle KJF are co-interior angles so they add up to 180°
132 + y = 180
y = 180 – 132
y = 48
y + z = 143 ( alternate angles )
48 + z = 143
z = 143 – 48
z = 95
Heya ~
I need help please . . . .
I am just going to show the image, so y'all won't get confuse.
ANSWERS CHOICES ~
[tex]4[/tex]
[tex]3[/tex]
[tex]-3[/tex]
make a explanation to this.
Thanks ~
Answers
Answer:
y = -3
Step-by-step explanation:
y = x - 7
when x = 4
y = 4 - 7
y = -3
Answer:
See below.
Step-by-step explanation:
If x is 4, then replace x with 4 and simplify.
y=4-7
y=-3
-hope it helps
Help please, will give brainliest!!
Answers
Answer:
[tex]{2}^{3} = 2 \times 2 \times 2 = 8[/tex]
Step-by-step explanation:
*We're focusing on 2 to the power of 3.
2^3 is represented as 2 x 2 x 2, 2 is being multiplied by itself 2 times.
When we multiply, we find the product of 8.
Therefore,
[tex] {2}^{3} = 2 \times 2 \times 2 = 8[/tex]
The stock of Company A gained 3.5% today to $16.56 . What was the opening price of the stock in the beginning of the day?
Answers
well, the opening price was "x", which oddly enough is the 100%, however during the trading of the day the company gained 3.5%, so that'd be 100% + 3.5% = 103.5%, and we know that that is 16.56, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 16.56&103.5 \end{array}\implies \cfrac{x}{16.56}=\cfrac{100}{103.5}\implies 103.5x=1656 \\\\\\ x=\cfrac{1656}{103.5}\implies x=16[/tex]
what is the factored form of 24v – 84?
Answers
Answer:
10
Step-by-step explanation:
b
woop woop more questions
Answers
Answer:
5m+4
Step-by-step explanation:
Open the bracket
i.e 5m+5-1
5m+4.
Help plss, thank you.
Answers
7)D
8)D
Step-by-step explanation:
Try 9 and 10
what was the effect of Spanish rule on the French Huguenots?due tomorrow
choices are:
A) The French were driven from Fort Caroline. They could not practice their religion and their leader and his men were massacred.
B) The French were able to take advantage of weaknesses in the Spanish Army and to take over their fort at St. Augustine.
C) The Spanish moved the Huguenot cemetery away from their fort, because they didn’t like the French names.
Answers
C) The Spanish moved the Huguenot cemetery away from their fort, because they didn’t like the French names.
write the following linear equation in slope intercept form. y-5=-2(x+3)
Answers
Answer:
y = -2x -1
Step-by-step explanation:
y-5=-2(x+3)
Distribute -2 × x and -2 × 3
y - 5 = -2x -6
y + 5 = -2x -6
y = -2x - 1
Chin needs more money in his net pay each month, so he plans to reduce his federal income tax deduction from 12% to 11%. His monthly gross pay is $3,500, and his deductions before the change are listed in the table.
Deduction
Dollar Amount
Federal Income Tax
$420
State Income Tax
$95
Social Security
$89
Medicare
$40
What will be his new monthly net pay? Round your answer to the nearest dollar.
Answers
Answer:
Your answer would be $2,891
Hope this help :D
Step-by-step explanation:
Answer:
$2891
Step-by-step explanation:
$2821
$2857
$2860
$2891
When a kite is flying, the string makes an angle of 22° with the horizontal, and the string is 200m long. How high is the kite?
Answers
Answer: Check the picture below.
Make sure your calculator is in Degree mode.
the question "how long is the kite?" is not quite clear, i suppose it was asking how far it was from the ground (b) or horizontally (a). I calculated both, I hope this helps
Lebo is saving money to buy some new clothes in january she saved R131,in febuary R246 and in march R394.estime how much money she had at the beginning of April
Answers
Answer:
If R is supposed to be $ then the answer is $771 or estimated is $780
Step-by-step explanation:
131 = 130
246 = 250
394 = 400
What is the area of a rectangle if one side has a length of 12x^3 and
the other side has a length of 6x^2?
Answers
Answer:
The area of this rectangle is 72x^5
Step-by-step explanation:
A = l ∙ w
Let, l = length
Let, w = width
Step 1: Substitute the length and width for the two given values
1. A = (12x³)(6x²)
Step 2: Multiply
1. A = 72x^5
Dana bikes 10 miles in 50 minutes. At this rate, how far can she bike in 90 minutes? Enter your answer in the box.
Answers
10 miles 50 minutes = 1 mile 5 minutes = 6 miles 30 minutes = 18 miles 19 minutes
Answer: 18 miles
Step-by-step explanation: 1 mile = 5 minutes
So, 90 minutes = 18 miles.
Hope this helps! :)
Mark me brailiest and a thanks please!
Solve this problem 3 Times 7
Answers
Answer:
3 times 7 is 21
Step-by-step explanation:
Answer:
3x7=21
Step-by-step explanation:
7+7+7=21 or 3+3+3+3+3+3+3=21
Brainliest
Two trains, Train A and Train B, weigh a total of 290 tons. Train A is heavier than Train B. The difference of their weights is 122 tons. What is the weight of each train?
Answers
Answer:
Train A is 168 tons and Train B is 122 tons
Step-by-step explanation:
Which expressions are equivalent to this exponential expression?.
Answers
The expression is equivalent to [tex]5^2[/tex].
Given
Expression; [tex]\rm \dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}[/tex]
Exponential expression;The definition of exponential form is a way of writing a number that is multiplied by itself more than once.
To solve the exponential equation follow all the steps given below.
Therefore,
The expression is equivalent to;
[tex]\rm =\dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6+4}}{5^{-4}}\\\\=\rm \dfrac{5^{-2}}{5^{-4}}\\\\=5^{-2+4}\\\\=5^2[/tex]
Hence, the expression is equivalent to [tex]5^2[/tex].
To know more about expression click the link given below.
https://brainly.com/question/11865504
1. Tell whether the ordered pair (5,0) is the solution of the system. x + y = 5
and 3x + y = 15 *
Answers
Answer:
Yes they are.
Explanation:
x + y = 5
=
5 + 0 = 5
3x + y = 15
=
(3 × 5) + 0 = 15