Mathematics High School

What is the recursive formula for this geometric sequence? 6, -24, 96, -384, ...

Answers

Answer 1

Answer:

Option (C)

Step-by-step explanation:

Geometric sequence has been given as,

6, -24, 96. -384.......

First term of this sequence = 6

[tex]a_1=6[/tex]

Recursive formula of geometric sequence is given by,

[tex]a_n=a_{n-1}(r)[/tex]

Here r = common ratio of successive and previous term

From the given sequence,

r = [tex]\frac{a_2}{a_1}[/tex]

= [tex]\frac{-24}{6}[/tex]

= (-4)

Recursive formula of the given sequence will be,

[tex]a_n=a_{n-1}.(-4)[/tex]

Therefore, Option (C) will be the correct option.

Related Questions

You need 368cm of tape for a project, how many decimeters is this?

Answers

..............36.8 dm

368 cm of tape is equal to is 36.8 dm

Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar?

Answers

Answer:

yes just fill up the 6 gallon jar up to the 4 galon mark

Step-by-step explanation:

Yes you can divide the 6 gallon jar in 6 levels. You can see how much water it is where witch level the water is

120% of __________ is 78

Answers

120% of 65 is 78.

This means that 120 times what equals 78.

120*65=78

Answer:

Step-by-step explanation:

Simplify the expression.
49^3/2

Answers

Answer:

i think its 58824.5

Are the two given triangles similar? Show your work to support your answer.
Helpppp please

Answers

Answer:

Step-by-step explanation:

1 is obtuse one is acute

-28=-5x+7

Solve the two step equation

Answers

Answer:

x = 7

Step-by-step explanation:

-28=-5x+7

Add 28 and 5x to both sides

5x = 35

Divide both sides by 5

x = 7

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

−28=−5x+7

Step 1: Flip the equation.

−5x+7=−28

Step 2: Subtract 7 from both sides.

−5x+7−7=−28−7

−5x=−35

Step 3: Divide both sides by -5

-5x/-5 = -35/-5

x=7

Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.

Answers

Answer:

b = 13.8

A = 45°

C = 35°

Step-by-step explanation:

Given:

m<B = 100°

a = 10

c = 8

Required:

b, m<C, and m<A

✔️Find b using Cosine Rule:

b² = a² + c² - 2*ac*Cos(B)

Plug in the values

b² = 10² + 8² - 2*10*8*Cos(100)

b² = 164 - (-27.7837085)

b² = 191.783709

Take the square root of both sides

b = 13.8 (nearest tenth)

✔️Find m<C using Sine rule:

[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]

Multiply both sides by 8

[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]

[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]

[tex] Sin(C) = 0.5709 [/tex]

[tex] C = Sin^{-1}(0.5709) [/tex]

[tex] C = 35 [/tex] (nearest degree)

m<C = 35°

✔️m<A = 180 - (100 + 35) (sum of triangle)

m<A = 180 - 135

m<A = 45°

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.

Answers

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

a1 =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

WILL GIVE BRAINLIST
options: given, vertical angles, corresponding angles, and transitive

Answers

Answer:

1. Given

2. Vertical angles

3. Transitive

4. Corresponding Angles

Step-by-step explanation:

1. Number one is given because it is the statement that is given

2. Number two is vertical angles because they are two opposite angles that are formed by the same lines. The statement also says they are congruent, which is true of vertical angles.

3. From the given answers 3 must be transitive because <2=<4 and <2=<6. Although alternate interior angles is also an appropriate answer.

4. Number four must be corresponding because they are on the same side of the intersection of the lines, so they are both in the top right. Also, the statement says they are congruent which is true of corresponding angles.

Is the relation shown in the arrow diagram a function? Justify your answer.

Alternative text

Yes. The input 0.8 and 0.4 have only one output.

Yes. Each output has only one input.

No. Each input has only one output.

No. The input 1.2 has 2 outputs.

Answers

Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

Mrs. Brown asked four students how to find the perimeter of a rectangle where l = length and w = width. Their answers are below. Which would NOT find the perimeter of a rectangle?
A. P = l + w + l + w

B. P = 2 x l + 2 x w

C. P = 2(l + w)

D. P = 2(l x w)

Answers

Answer:

i think its B but i'm not 100 percent sure sorry if im not but i think i am

Step-by-step explanation:

Answer:

It's D

Step-by-step explanation:

You l*w is the area.

#1- 2 is what percent of 16 #2- 15 is what percent of 80 #3- 38 is what percent of 200

Answers

Answer:

#1 . 12.5%

#2. 18.75%

#3. 19%

Step-by-step explanation:

2 / 16 x 100% = 12.5%

15 / 80 x 100% = 18.75

38 /200 x 100%= 19%

Find the slope: (7,4) (5, 6)

Answers

Answer:

Slope = - 1

Step-by-step explanation:

(x₁ , y₁) = (7,4) & (x₂, y₂) = (5, 6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]= \frac{6-4}{5-7}\\\\= \frac{2}{-2}\\\\= - 1[/tex]

a) Estimate the value of 50.75 x 0.18

Answers

Answer:9.135

Step-by-step explanation: I had have this answer

Answer:

9.135

Step-by-step explanation:

blank ÷ 3/7= 7/15.

Answers

Answer:

1 4/45

Step-by-step explanation:

Please help!!!! Due soon!!
I’ll mark you the brainliest answer! Please

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

X+2

F(x) +3

Giving brainliest 10 points! Please help me with this question

Answers

Answer:

(0,-23)

Step-by-step explanation:

Please help!! answer choices and question below

Answers

Answer:

3 because 3 times 4 is 12 and 18 divided by 6 is 3

Step-by-step explanation:

A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5

meters below sea level. How many meters did he descend?

SHOW YOUR WORK

IF YOU SHOW WORK YOU GET EXTRA POINTS

MUST SHOW WORK

--------------------------------------------------
goodluck
xoxo

Answers

Answer/Step-by-step explanation:

If the Diver started at 85 3/4 below sea level (-85 3/4 from sea level.) And he descends more you have to find the difference between two distances.

In order to get to -103 1/5, how much was subtracted from the original distance of -85 3/4. To solve this use an inverse operation. Find the absolute value of the new distance and add the original distance from sea level.

I -103 1/5 I + -85 3/4 = 103 1/5 - 85 3/4 = 17.45.

The distance from each value is I 17.45 I So, the diver descended another 17.45 meters from sea level.

If you were to roll a die one time, what is the probability of it landing on an odd number

Answers

Answer:

It's one half.

Step-by-step explanation:

There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.

Omg what kinds of questions are these do teachers really think we can tell if it’s gonna land on a odd number

HOLA IM DORA AND IM GONNA NEED YOUR HELP FIGURING OUT THIS EQUATION?..... MUCHAS GRACIAS. what are the x-intercepts of the graph of y=x^2+5x+6?

A. (-2,0) and (-3,0)

B. (6,0) and (5,0)

C. (2,0) and (3,0)

D. (-6,0) and (-5,0)

Answers

Answer:

Step-by-step explanation:

yeah

Which expression uses the associative property to make it easier to evaluate
8(1.3)

A. 8(3

B. 43

C. (8)

D. (8)

Answers

Answer:

The answer to this question is A. 8(3/5*1/4).

Answer:

Step-by-step explanation

i think

Which expression is equivalent to -44
PLease asap 12 points please dont just take them

Answers

Answer:

|44|

Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)

Step-by-step explanation:

-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative

Answer:

One equation is -22+-22

What is the vertex of the graph of f(x) = |x – 13| + 11?

(–11, 13)
(–13, 11)
(11, 13)
(13, 11)

Answers

Answer:

(13, 11)

Step-by-step explanation:

I graphed the line and the vertex is at 13, 11

The vertex of the function f(x) = |x - 13| + 11 is (13,11)

How to determine the vertex?

The function is given as:

f(x) = |x - 13| + 11

The above function is an absolute value function

An absolute value function is represented as:

f(x) = a|x – h| + k

Where, the vertex is (h,k)

So, we have:

(h,k) = (13,11)

Hence, the vertex of the function f(x) = |x - 13| + 11 is (13,11)

Answers

Answer:

Choice A

Step-by-step explanation:

can someone answer the problem, please?
158
× 4

Answers

158 x 4 = 632 :) shshdjdhdb

Answer:

the answer is 632

Step-by-step explanation:

just do some normal multiplication. :)

If ∠1≅∠2, then ___...

a) ∠5≅∠6, angle 5 is congruent to angle 6

b) ∠3≅∠4, angle 3 is congruent to angle 4

c) XK≅YK

d )GK≅HK

e)All of the above are true

Answers

Answer: All of thé above

Step-by-step explanation:

Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

4.73 if it’s one person & if it’s for 2 people then 2.36 per person

Help me please ! take your time and try your best thank you!

Answers

Answer:

Step-by-step explanation:

to find how much hours dan played the equation would be:

d = 2s - 4

to find the total:

s + d = 17

hope this helps :)

Answer: ABOVE

Explanation: This is what you did to countless others

someone please help me. show your work for brainliest.

find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0

Answers

Answer:

Attached file

Step-by-step explanation:

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