Why is it important to be able to discover the rule within a sequence

Answers

Answer 1

Answer:

a particular order in which related events, movements, or things follow each other.

Step-by-step explanation:

Answer 2

By discovering the rule of sequence we can find the missing terms of the sequence.

We need to find why is it important to be able to discover the rule within a sequence.

What is sequence?

A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence.

It is important to discover the rule within a sequence, because by discovering the rule of sequence we can find the missing terms of the sequence and nth term formula and sum of n terms formula.

Therefore, by discovering the rule of sequence we can find the missing terms of the sequence.

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Related Questions

Half a number increased by 10 is 12. Find the number.​

Answers

Answer:

4

Step-by-step explanation:

Equation:

1/2x + 10 = 12

Subtract 10 from both sides:

1/2x = 2

Divide by 1/2 from both sides:

x = 4

-Chetan K

How do I do this? Please help!

Answers

Answer:

when evaluate the function with the 1, then you get -2

and when evaluate with the 6, then you get 3/4

Step-by-step explanation:

the domain for this function is , [-3, 2) U (2, infinite)

Solve the Equation for T. Picture below

Answers

Answer:

s.v is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Given f (x) = x2 + 6x + 5 and g(x) = x3 + x2 − 4x − 4, find the domain of f over g of x period

{x ∈ ℝ}
{x ∈ ℝ| x ≠ −5}
{x ∈ ℝ| x ≠ −1, −2, 2}
{x ∈ ℝ| x ≠ −2, 2}

Answers

The main limiting issue with the domain this function is potentially picking an x-value that makes that denominator equal 0, because dividing by 0 is bad.

So, the domain will be all real numbers, except for those that make g(x)=0.

g(-1) = 0, g(-2)=0, and g(2) = 0, so -1, -2, and 2 must be excluded from the domain.

Your answer is {x ∈ ℝ| x ≠ −1, −2, 2}.

Answer:

[tex]\textsf{Domain}: \quad \{ x \in \mathbb{R}\;|\;x \neq -1, -2, 2\}[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases} f(x)=x^2+6x+5\\g(x)=x^3+x^2-4x-4\end{cases}[/tex]

Factor function f(x):

[tex]\begin{aligned}\implies f(x)&= x^2+6x+5\\&=x^2+x+5x+5\\&=x(x+1)+5(x+1)\\&=(x+5)(x+1)\end{aligned}[/tex]

Factor function g(x):

[tex]\begin{aligned}\implies g(x)&=x^3+x^2-4x-4\\&=(x+1)(x^2-4)\\&=(x+1)(x+2)(x-2)\end{aligned}[/tex]

Therefore the composite function is:

[tex]\implies \dfrac{f(x)}{g(x)}=\dfrac{(x+5)(x+1)}{(x+1)(x+2)(x-2)}[/tex]

A rational function is undefined when the denominator equals zero.

Therefore, the given composite function is undefined when (x+1)(x+2)(x-2)=0:

[tex]x+1=0 \implies x=-1[/tex][tex]x+2=0 \implies x=-2[/tex][tex]x-2=0 \implies x=2[/tex]

The domain of a function is the set of all possible input values (x-values).

Therefore, as the composite function is undefined when x = -1, x = -2 and x = 2, the domain is:

[tex]\{ x \in \mathbb{R}\;|\;x \neq -1, -2, 2\}[/tex]

The graph of y=f(x) is shown below. find all the values of x where f(x)=6

Answers

Answer:

x = -4, 4

Step-by-step explanation:

When it says find all the values of x where f(x) = 6, it is basically asking for the x values where y would equal 6. So if you look at the graph, y equals 6 when x = -4 and x = 4.

In one hour on a
certain street, 65% of the
cars passed were black.
Write 65% as a decimal.

Answers

Answer: 0.65

Explanation:
To covert a percentage to a decimal, divide by 100.

Answer:

Step-by-step explanation:

0.65

Lance bought a ring at ₱34 500. He sold the ring for ₱27 000. Find the percentage discount. Give your answer correct to the nearest whole number. for my sister-

Answers

Answer:

7500

Step-by-step explanation:

34500-27000=7500

PLS HELP WILL MARK BRAINLIEST!! TY

Answers

Step-by-step explanation:

[tex]\angle{1} = 77°[/tex] because they are vertical angles.

The 77°-angle is supplementary with [tex]\angle{2}[/tex] therefore

[tex]77° + \angle{2} = 180° \Rightarrow \angle{2} =180° -77° = 103°[/tex]

[tex]\angle{3}[/tex] and [tex]\angle{2}[/tex] are vertical angles so

[tex]\angle{3} = \angle{2} = 103°[/tex]

Answer:

103 = angle 3

103 = angle 2

angle 1 = 77

Step-by-step explanation:

angle 1 = 77

angle 2 = angle 3

360 - 77x2 = 206

206/2 = 103

The values in the table represent an exponential function. What is the
common ratio of the associated geometric sequence?
х
у
1
9
2
36
3
144
4
576
5
2304
O A. 4
B. 27
C. 45
O
D. 9

Answers

Answer:

It is 4.

Step-by-step explanation:

9(4)=36

36(4)=144

144(4)=576

576(4)=2304

Hope this helps:)

HELP LAST ATTEMPT ( get marked brainliest show work

Answers

Answer:

144

Step-by-step explanation:

48 ÷ 4 (which is how many sides a square has) is 12

So 12x12 because l×w (length and width) and all sides of a square are equal

So the answer would be 144

Question:

The perimeter of a square is 48 inches. What is the area, in square inches, of the square?

Statement:

The perimeter of a square is 48 inches.

Solution:We know, perimeter of a square = 4 × length of a side of a square.So, the length of a side of a square = Perimeter of the square ÷ 4Therefore, the length of the given square

= 48 inches ÷ 4

= 12 inches

Now, area of a square = square of the length of a side of the squareTherefore, the area of the given square

= (12 inches)^2

= (12×12) square inches

= 132 square inches

Answer:

The area of the square is 132 square inches.

I NEEDD HELP PLS AND THANK YOU

Answers

Answer:

1/9

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

When it has a bar over it, that means that the one continues. So the actual decimal is 0.11111111111. To find the answer, divide all the rational numbers. I'll do A for example. A. 1/11 (1 divided by 11) which is .09090909. It's close, but not the answer. Now, try the others.

The actual decimal is impossible to write out as it is infinite, so it is represented with a bar on top of the repeating value. \[0.03\]|

Compare these two functions, where the input variable represents days.
f(t) = 35(3)^t

t: 0, 1, 2, 3, 4
g(t): 70, 105, 140, 175, 210

What is the difference between the function’s values on Day 1?
A.) 0
B.) 35
C.) 70
D.) 105

Answers

Answer:

c.) 70

# carry on learning

A basketball team played six games and those games the team won by seven points lost by 20 one by eight one by 11 lost by 3 and one by nine which was the meaning amount by each the team won or lost over a six game

Answers

Answer: 2

Step-by-step explanation 7 - 20 + 8 + 11 - 3 + 9 = 12 divided by 6 because there are 6 numbers equals 2

Put these numbers in order from greatest to least. 27/30, -7, 15/25

Answers

Answer:

27/30, 15/25, -7

Step-by-step explanation:

id k common sense

28. Find the volume of a cube measuring 8.10 cm on each
edge. (V = e, where e is the length of each edge.)

Answers

Answer:

531.44100

Step-by-step explanation:

A cube volume is V = x^3

Here x = 8.10

8.10*8.10*8.10 = 531.44100

what is the 6th therm of the sequence 8, 21, 34, 47?

Answers

Answer:

60

Step-by-step explanation:

Each number is increasing by 13. Add 13 to 47 and you get 60.

The PATTERN would be 8, 21, 34, 47, 60 if you’re looking for the PATTERN. If you are looking for the difference between all of them, it would be 13.

What is another way to describe the expression 4(x+y)2?

Answers

Answer:

4x+2y

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST!! TY

Answers

Answer:

x = 11

Step-by-step explanation:

pls mark me brainleist :))

Answer:

x=11

Step-by-step explanation:

31+4+5x=90

Combine like terms

35+5x=90

Subtract 35 from each side

5x=55

Divide by 5

x=11

Factor 20r + 60t to identify the equivalent expressions,
Choose 2 Answers

Answers

A,D are the answers i took the test

1. Select all of the descriptions and equations that match diagram A.
A
B
Equations:
5. y = 1.832
Descriptions
1. An increase by
2 An increase by
3. A decrease by
5
6. y = 1.6x
7. y = 0.62
4. A decrease by
5
11
8. y = 0.42

Answers

8 . y = 0.42 ! is ur answer !

Hey guys, please answer this question for me, Im in a very important test, i will give u thanks!

Answers

Step-by-step explanation:

the first one and the fourth is your answer.

first - 2094tenths + 5hundredths.

fourth- 20+9.045.

hope this helps you.

Answer:

a)

d)

All these answers are incorrect

and art teacher had 2/3 gallons of paint to pour into containers. if he poured 1/8 gallon of paint into each container until he ran out of paint, how many containers had paint in them including the one that was partially filled.

Answers

Step-by-step explanation:

we divide 2/3 by 1/8 (to see how often 1/8 fits into 2/3).

remember, when dividing one fraction by another, it is the same as multiplying with the upside-down second fraction.

2/3 / 1/8 = 2/3 × 8/1 = (2×8)/(3×1) = 16/3 = 5 1/3

that means that there are 5 containers with 1/8 gallon of paint, and a 6th container with a little bit of paint left (a third of 1/8 gallons = 1/8 / 3/1 = 1/8 × 1/3 = 1/24), 1/24 of a gallon.

so, 6 containers in total have paint in them.

Sally is making Christmas cookies with her family. The recipe calls for 1/4 of a cup of sugar. She wants to double this recipe. How does she double the amount of sugar?

Answers

Answer:

1/4 x 2

hope its right

Explain why solving a system of equations using graphing is not a useful solution technique?

Answers

Answer:

solving a system of equations using graphing is not a useful solution technique because you are plotting on a 2D surface. For example, if you graph the system below, you get the following graph. ... While you can approximate the solution to this system, you cannot say exactly where the intersection point is since it does not fall on integer values on the number lines.

Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu.
Find the probability that at least four of the 25 patients actually have the flu.

Answers

9 people have the flu

The probability that at least four of the 25 patients actually have the flu is 0.013

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

The probability P(X ≥ 4).

By De Morgan's Law, this is equal to 1-P(X<4).

If we add up the values of x=0,1,2,3 from our pmf,

[tex]$p_x = \binom{25}{x}(0.04)^x(1-0.04)^{25-x}$[/tex]

So, x=4

P(4) = 25! / 4! ( 25- 4)! x [tex]0.04^4[/tex] [tex](1 - 0.04)^{25- 4}[/tex]

P(4) = 0.013

Hence, the probability that at least four of the 25 patients actually have the flu is 0.013

Learn more about Probability here:

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can someone help me with question 6,7 I don’t really get it!

Answers

Solution:

[tex] \frac{13}{16} x - \frac{3}{8} x = \frac{2}{5} + \frac{3}{10} \\ = > \frac{13x - 6x}{16} = \frac{4 + 3}{10} \\ = > \frac{7x}{16} = \frac{7}{10} \\ = > x = \frac{7}{10} \times \frac{16}{7} \\ = > x = \frac{16}{10} \\ = > x = \frac{8}{5} [/tex]

[tex]s = \frac{2x + t}{r} \\ = > rs = 2x + t \\ = > rs - t = 2x \\ x = \frac{rs - t}{2} [/tex]

(2x - 5)
2x - 3 >
Find the solution set to this inequality
2
o
а
Ob
2
IA
Oc
r
2
Od
r<

Answers

The answer would be a

If i= √-1 , what is the value of i^3
A. -1
B. i
C. 1
D. -i

Answers

Answer:

The choice D. – i

Step-by-step explanation:

[tex]i \times i \times i = \sqrt{ - 1} \times \sqrt{ - 1} \times \sqrt{ - 1} \\ = - 1 \times \sqrt{ - 1} \\ = - i[/tex]

I hope I helped you^_^

Answer: D. -i

Explanation: It helps to remember the phrase, “I won, I won!”, as in “i 1 i 1” with both middle values as negative.
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1

!!!!!!!!!!!!!!!!!!!!!​

Answers

7. B

multiply the numbers and simplify.

8. D

divide the two numbers.

9. C

add the numbers

10. B

subtract the numbers.

11. B

multiply the numbers.

12. A

divide the numbers, the quotient is the number obtained.

13. C

14. C

15.D

The principal of Fremont High School is putting together a table that lists student attendance at four types of events held at the school last year. How many of the events' total audience members attended musical concerts last year?​

Answers

Answer:

Step-by-step explanation:

The answer is 2050

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