Find the iterative rule for
a1=4; an=1/3·an−1

A.) an=1/3•4^n
B.) an=1/3•4^n-1
C.) an=4•(1/3)^n
D.) an=4•(1/3)^n-1

Answers

Answer 1

Answer:

D.) a(n) = 4 * (1/3)^(n-1)

Step-by-step explanation:

a(1) = 1/3 * a(1-1) = 1/3 * a(0) = 4, so that

1/3 * a(0) = 4

a(0) = 12.

Answer choice D.) is such that a(0) = 4 (1/3)^(0-1) = 4*(1/3)^(-1) = 4 * 3 = 12, and assuming that the problem is well posed (i.e., exactly one of the answer choices is correct), we deduce that D.) is the correct answer choice.

 


Related Questions

Pls help with these questions!!!

Answers

Answer:

[tex]9 \times 9 - 3 = 81 - 3 = 78[/tex]

Which equation represents a line that has a slope of 1/3 and passes through point (-2,1)?

Answers

Answer:

The equation would be y - 1 = 1/3(x + 2)

Step-by-step explanation:

In order to find this, we simply plug the values we have into point slope form.

y - y1 = m(x - x1)

y - 1 = 1/3(x - -2)

y - 1 = 1/3(x + 2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope = m = 1/3

(-2 , 1)

[tex]y - y_{1}= m(x - x_{1})\\y - 1 = \dfrac{1}{3}(x -[-2] )\\\\y - 1 = \dfrac{1}{3}(x + 2)\\\\y - 1 =\dfrac{1}{3}x + \dfrac{1}{3}*2\\\\y=\dfrac{1}{3}x+\dfrac{2}{3}+1\\\\y=\dfrac{1}{3}x +\dfrac{2}{3}+\dfrac{3}{3}\\\\y=\dfrac{1}{3}x +\dfrac{5}{3}[/tex]

uhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Caaaaannnnnn''ttttttttt seeeee iiiiiitttttt

Suzy is 2997972000 seconds old. How many years old is she?

Answers

Answer:

95.06506849315

Step-by-step explanation:

Basically 95 years old which is very old Pls brainliest Thx! :D

Answer:

lets see according to my cackulations.... suzie would be, 6.....she would be six feet under the ground. dead. deceaced.gone.

Step-by-step explanation:

i don't understand this question somebody help

Answers

Answer:

Explanation is in a file

Three years after a tree was planted it was 9 feet tall. Seven years after it was planted it was 17 feet tall. a What is the yearly growth rate of the tree? b. Determine the height of the tree when it was planted.​

Answers

Answer:

your answer i think is 2/3 sorry if i'm wrong

Step-by-step explanation:

simplified form
(3x+2)(4x² –5x+7)

Answers

Answer:

12x³ - 7x² + 11x + 14

Step-by-step explanation:

(3x + 2)(4x² - 5x + 7)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x² - 5x + 7) + 2(4x² - 5x + 7) ← distribute parenthesis

= 12x³ - 15x² + 21x + 8x² - 10x + 14 ← collect like terms

= 12x³ - 7x² + 11x + 14

find the sum in smiplest form 6\\9 plus 6\9

Answers

Answer:

6/9+6/9

find the LCM, which is 9

9÷9=1, 1×6=6

since it is the same thing

6+6/9 = 12/9

= 1 whole number 3/9 or 1 whole number 1/2

What is the sum of the 3rd
prime number and the 2nd
square number?

Answers

Step-by-step explanation:

First 3 Prime Numbers are

2 , 3 , 5

Therefore, Sum of the square of these numbers will be

2^2 + 3^2 + 5^2

= 4 + 9 + 25

= 38

Hence the answer is 38

Hello there!

The third prime number is

[tex]5.[/tex]

The second square number is 4. Add them together and get 9 as your answer.

Now, what is a prime number? It's a number that has only 2 factors (1 and itself)

If you multiply a number times itself, you get a square number.

Hope this helps you!

~Just an emotional teen who listens to her favourite songs

[tex]Silent Nature[/tex]

what is the height of the prism?

Answers

Answer:

6m

Step-by-step explanation:

Hope this helps!!!

Answer:

Step-by-step explanation:

l = 3 m

w = 2 m

Volume = 36 cubic meter

l * w * h = 36

3 * 2 * h = 36

6 * h = 36

      h = 36/6

h = 6 m

If it takes 5.5 hours to fill a 4.675 gallon swimming pool, how many gallons can be filled in one hour?

Answers

Answer:

0.85 gallons

Step-by-step explanation:

4.675(gallons) dived by 5.5(hours). Hope it helps

Find the missing angle measure.

Answers

Answer:

m<a=27º

Step-by-step explanation:

a triangle is 180º total

180-90=90

90-63=27

1) One angle is 28° larger than the other. The sum of the measures of two angles is 90°. Find the measure of each angle.
X=_____
Equation:______​

Answers

Answer:

62

Step-by-step explanation:

Equation: x +28 =90

x = 59°

Measure of one angle = 59°

Measure of another angle = 31°

Equation to calculate the measurement: x + x - 28 = 90Given,

What is angle?

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.

Given,

Sum of two angles = 90°

One angle is 28° larger than other

Let the measurement of one angle is x

then other angle = x - 28°

But,

x +  x - 28° = 90°

2x - 28° = 90°

2x = 90° + 28°

x = 118°/2

x = 59°

one angle = 59°

other angle = 59° - 28° = 31°

Hence, 59° is measure of one angle

and 31° is measure of other angle.

x + x - 28 = 90 is the Equation to calculate the measurement.

Learn more about angle here:

https://brainly.com/question/28451077

#SPJ2

D is on side AB of triangle ABC. We know triangle ABC ~ triangle ACD and angle A = 48 degrees. If BC = CD what is angle B in degrees

Answers

Answer:4/6

Step-by-step explanation:

The measure of angle ∠B will be 66 degrees.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

D is on side AB of triangle ABC. We know triangle ABC is similar to triangle ACD and angle A = 48 degrees. If BC = CD.

∠ABC = ∠ACB = x (Isosceles triangle property)

In △ABC, the angle sum is 180°. Then we have

∠ABC + ∠ACB + ∠ABC = 180°

x + x + 48° = 180°

2x = 132°

x = 66°

Then

∠BCA = ∠BCD + ∠DCB = 66°

∠BCD = 66° − 18°

∠BCD = 48°

Now, In ΔBCD, then we have

∠BCD + ∠BDC + ∠DBC = 180°

48° + ∠BDC + 66° = 180°

∠BDC = 66°

We know that ∠BDC = ∠DBC,

∠DBC = ∠BDC

∠DBC = 66°

The measure of angle ∠B will be 66 degrees.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

2×[3+2×(10-3)]=

Pa helppppp

Answers

Step-by-step explanation:

2 × [3 + 2 × (10 - 3)] =

2 × (3 + 2 × 7) =

2 × (3 + 14) =

2 × 17 = 34

Answer:

34

Step-by-step explanation:

2 × [3 +2 × (10 - 3)]=

2 × (3 + 2 × 7)=

2 × ( 3 + 14)=

2 × 17=

34.

John Paulo bought 10 plastic discs. Each disc weighs 0.9 ounces. How much do the 10 plastic discs weigh in all?

Answers

Answer:

9

Step-by-step explanation:

.9*10=10

it's basically simple multiplication with a decimal

Which statement about the slope of a line is true?

Answers

Answer:

wheres the line

Step-by-step explanation:

Solve the equation, y = 7x + 10, using the x-values, 3, 5, and 8.
Which of the following T-tables represents the ordered pairs?

Please help !!

Answers

Answer:

y=7%283%29%2B10

y=21%2B10

y=31

(3,31)

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

z−4/9−1/3=5/9 Enter your answer as a fraction in simplest form in the box. z =

Answers

Answer:

z = 4/3 or 1 1/3

Step-by-step explanation:

z−4/9−1/3=5/9

Change 1/3 to have a denominator of 9

1/3 *3/3 = 3/9

z−4/9−3/9=5/9

Combine like terms

z -7/9 = 5/9

Add 7/9 to each side

z-7/9+7/9 = 5/9+7/9

z = 12/9

z=4/3

or as a mixed number

z = 1 1/3

PLEASE HELP ASAPP!!!!!!!!! <3

Answers

Answer:

1) 9

2) 8

3) 5

4) 72

5) 40

6) 3

Step-by-step explanation:

1) 5 times 9 equals 45, then you add 5 to get 50.

2) -2 times 8 equals -16, minus 3 is the same as adding a -3 to get -19

3) 7 times 5 equals 35, plus 1 to get 36.

4) 72 divided by 6 equals 12, minus 10 to get 2.

5) 40 minus 14 equals 26, divided by 2 to get 13.

6) 3 times 3 equals 9, minus 5 to get 4 then multiplied by 4 to get 16 as your final answer.

I have to go but here are answers 1-6 I will work on 7-11 later. Sorry! Tell me if you have any questions though!

I need help with this question:

Answers

Answer:

a)    #4    vertical angles are congruent

b)    # 1   ∠3 ≅ ∠7

c)    # 6   Transitive property

Step-by-step explanation:

    a. Vertical angles - opposite angles that are equal.

    b.  corresponding angles - in the same place but on different parallel lines

          and are equal.

     c. a = b, b = c  so a = c

Determine what type of model best fits the given situation:



A. none of these
B. exponential
C. quadratic
D. linear
Reset Selection

Answers

Answer:

A. none of these

Step-by-step explanation:

It's an absolute value function such as : y = 3*| x-1 |

Brainiest?!?! Please help me I'm running out of time??​

Answers

Because if x is greater than y, then x-y wouldn’t be below 0 like it’s shown, so x must be less than y.

And if x is less than y, any negative y would mean x is negative as well since it’s always less than y. And as shown, x+y is positive so it’s impossible for y to be negative.

Please help me solve this please

Answers

Answer:

rdinates (4,5),(8,2) named point z

Step-by-step explanation:

What is the common ratio of 4,-5,-14,-23,-32

Answers

Answer:

-9!!!

Step-by-step explanation:

4 - 9 = -5

-5 - 9 = -14

-14 - 9 =  -23

-23 - 9 = -32

Brainliest me plzzz

Linear vs non linear functions

I’m completely confused on how to do linear vs non linear functions. Does anyone have step by step on how to do them?

Answers

Answer:

A linear function has a constant rate of change. A nonlinear function does not

Also, Lnear functions show a straight line when they are graphed and nonlinear functions don't.

My advice is to graph it and look at the points.

Good luck! Pls give brainliest!

Answer:

See Picture & I hope this helps!:)

Step-by-step explanation:

Anybody know the answer to number 2 !!!

Answers

Answer:

Well I can't put it on a number line but the order they should go in is: 2 [tex]\frac{1}{4}[/tex], 2.3 (repeating), 2.5,[tex]\sqrt{8}[/tex]

Step-by-step explanation:

who is the mathematician

Answers

I am not the mathematician

Answer:

i am

Step-by-step explanation:

The number of 90° angles formed by the intersections of and the two parallel lines and is

Answers

Answer:

is there supposed to be a picture that goes with this

Step-by-step explanation:

: 0

Best answer gets brainliest!

Whats the question?

The answer: Shreks Smelly Armpits

Whats the question?

Answers

Answer:Shreks smelly armpit

Step-by-step explanation:cause you wrote it??

Answer:

Shreks Smelly Armpits

Step-by-step explanation:

Question:

The Land of Duloc is having a smell test with the smeliest armpits to win. Donkeys armpits have a 7/98 stink level. Shrek has x14 smelleier armpits than donkey. Lord Farquade has the same smell level as shrek but x0. Whos armpit is the smelliest?

Solve:

Donkey: 7/98 SECOND PLACE

Shrek 7 x 14 = 98 = 98/98 FIRST PLACE

Lord Farquade: 98 x 0 = 0 THIRD PLACE

Answer: Shreks Smelly Armpits

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