The next three terms of the alternating series are - 1 / 16, 1 / 32 and 1 / 64, respectively.
How to predict the next three terms of a series
Herein we find an alternating series of the form:
sₙ = (- 1)ⁿ · rⁿ⁻¹, for n = {1, 2, 3, ..., n}
Where:
n - Index of the n-th element of the series.r - Common ratio.By direct inspection, we find that r = 1 / 2 and the next three terms are: n = {5, 6, 7}
n = 5
s₅ = (- 1)⁵ · (1 / 2)⁵⁻¹
s₅ = - 1 · (1 / 16)
s₅ = - 1 / 16
n = 6
s₆ = (- 1)⁶ · (1 / 2)⁶⁻¹
s₆ = 1 · (1 / 32)
s₆ = 1 / 32
n = 7
s₇ = (- 1)⁷ · (1 / 2)⁷⁻¹
s₇ = 1 · (1 / 64)
s₇ = 1 / 64
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in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?
Answer:
48%
Step-by-step explanation:
9/10 of the students like going to the movies.
4/5 of 9/10 is 72/100 or 72%.
2/3 of 72 is 48.
So, 48% of the students like popcorn, candy, and going to the movies.
12. What type of triangle is shown?
Answer:
Scalene triangle, right triangle.
Step-by-step explanation:
To find out what type of triangle this is, we have to find x, so we set up an equation:
The sum of interior angles in a triangle add up to 180°
(2x + 15°) + (4x - 10°) + (x) = 180°
Open paranthesis:
2x + 15° + 4x - 10° + x = 180°
Combine like terms:
7x + 5° = 180°
Same to both sides
7x = 175°
x = 25°
We plug in x for each of the values:
2(25°) + 15° = 65°
4(25°) - 10° = 90°
25° = 25°
Because none of the angles are equal, that makes this triangle a scalene triangle, and since one of the angles is a 90° angle, that makes this triangle a right triangle
I hope this helped, let me know if you have any questions.
2X+1 -2X-8. Solve it
HELP HELP HELP PLSSS
Answer:
option. c. 720°
.....................
Answer:
720degrees
Step-by-step explanation:
Jocelyn Smith has been injured by a local driver who was not paying attention to the road while he was texting on his cellphone. Jocelyn Smith decides to sue the driver. She believes that her own pain and suffering and other damages are worth more than $100,000. In which Florida court should she file her legal action against the driver?
Answer: florida circuit court
Step-by-step explanation:
Based on the information given, the Florida court that she should file her legal action against the driver is the Florida circuit court.
The Florida Circuit Court is a state court where cases such as civil cases, felony, juvenile cases, family law and probate issues are heard. Therefore, based on the scenario given, the Florida circuit court will be applicable here.
Please help me with this!!!!
Answer:
The answer is C
Step-by-step explanation:
Answer:
c is correct
hope it helped
6.6=w-1.2 What is w??
Answer: 7.8
Step-by-step explanation:
1.2+6.6=7.8 so,
7.8-1.2=6.6
Kunal told Ana he was going to drop 10 dimes on the table. He said he would give her all the dimes where the "head" side was showing.How many dimes would Ana most likely get?
Answer:
10
Step-by-step explanation:
For the given expression, use the Commutative Property of Addition to enter an equivalent expression.
x + 19 =
Answer:
x+19=19+x
Step-by-step explanation:
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
[tex] = 2\pi \: r \: h \\ 2 \times \pi \times 4 \times 9 \\ = 226 .19 {cm}^{2} [/tex]
Can I have the brainliest please?
Answer:
9 X 4 = 36
Step-by-step explanation:
not really the answer sorry pls dont be mad
6.) Resuelve: 6(X + 8) - 30 + 7 = 49
Answer:
x=4
Step-by-step explanation:
6(x+8)-30+7=49
6x+48-30+7=49
6x=49-48+30-7
6x=1+23
6x=24
x=[tex]\frac{24}{6}[/tex]
x=4
Step-by-step explanation:
Para resolver esto yo use una app llamada m a t h w a y
(sin los espacios) esta puede estar en varios idiomas, aunque esto se modifica segun el idioma en donde la uses.
6(x+8) -30+7 = 49 1. Simplifica 6(x+8) -30+7
6x+25 = 49 2. Mueve todos los términos que no
contengan x al lado derecho de la ecuación
6x = 24 (25 pasa restando por lo cual sería, 49-25
que es igual a 24.)
3. Divide cada término por 6 y simplifica.
x = 4
Espero esto haya ayudado!
A yellow ball, a red ball, a white ball and a
black ball are placed in a barrel. Two balls
are drawn out of the barrel at random. What is the probability
that the yellow ball is drawn first?
Answer:
1/4 chance (this is equal to 25% as a percentage or 0.25 as a decimal)
Step-by-step explanation:
There are 4 balls and only one can be first. As there is only 1 yellow ball, there is 1/4 chance that the yellow ball is picked first.
what is the value of the expression -3y/x
when x = 12 and y=-8
Step-by-step explanation:
here is your answerr.
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
Gordon types 2,964 words in 39 minutes. Find the unit rate.
Answer:
76 words per minute
Step-by-step explanation:
2964/39=76 words per minute
15 points, 8-9 grade work
Polynomials
P(x) = 2x^4 + 3x^2 - 5x + 7
q(x) = -2x^2 + 4x - 3
calculation:
A. p(x) + q (x)
B. 2 • p (x)
C. p (x) - q (x)
D. 3 • p (x) + 4 • q (x)
E. p (x) • q (x)
F. (P (x) ) ^2
Answer:
A. p(x) + q (x) =2x^4 + 3x^2 - 5x + 7-2x^2 + 4x - 3 =2x⁴+x²-x+4
B. 2 • p (x)=2(2x^4 + 3x^2 - 5x + 7)=4x⁴+6x²-10x+14
C. p (x) - q (x) =2x^4 + 3x^2 - 5x + 7-(-2x^2 + 4x - 3 )=2x^4 + 3x^2 - 5x + 7+2x²-4x+3=2x⁴+5x²-9x-2
D. 3 • p (x) + 4 • q (x) =3(2x^4 + 3x^2 - 5x +7)+4(-2x^2 + 4x - 3 )=6x⁴+9x²-15x+21-8x²+16x-12=6x⁴+x²+x+9
E. p (x) • q (x)=sorry it is quite long.
F. (P (x) ) ^2this too.
The sample and h is the half-life, in days, of the substance. A sample contains 60% of its original amount of Fermium-257. The half-life of Fermium-257 is about 100 days. About how old is the sample? 52 days 60 days 74 days 136 days
Answer:
74 days
Step-by-step explanation:
The computation is shown below;
The proportion that remains left after d days is
p = (1/2)^(d ÷ 100)
In the case when the proportion is 60%
So,
0.60 = 0.50^(d ÷ 100)
Now
log(.60) = (d ÷ 100)log(.50)
100·log(.60) ÷ log(.50) = d = 74 days
-6=3x+3
Does anyone know this answer
Answer:
-1 :)
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
x = −1
John is measuring a piece of glass to fit in a triangular frame. he can only remember two sides of the brain, which are 6 cm and 11cm. Between what two numbers must the third side of the frame fall?
Answer:
yup right :)
Step-by-step explanation:
Answer: Your Correct
Step-by-step explanation:
Select the correct expressions.
Which expressions are equivalent to 3x + 2(x - 1) - 4?
3x + 2x - 2 - 4
5x -6
3(x-4)
3(x + 2) - 6
6(x - 1)
Reset
Next
LC
instrucciones: Resuelve lo que se te pide.
Ana preparo unos dulces
chiclosos. A los rojos les puso 3
cucharadas de azúcar por
cada lltro de agua, y en los
verdes 5 de azúcar por cada
dos litros, ¿que dulces estan
mas concentrados?
Answer:
los verdesestan mas concentrados
espero te ayude
a man sold two jeans at Rs 800. On one he gains a profit of 10 percent on other he loses 15 percent how he gain or loses in whole transaction
Answer:
1st jean:
100%-> 800
110%->880
880-800=80 ( earned)
-----------------------------------
2nd jean:
100%->800
85%->680
800-680=120(lost)
-----------------------------------------
120-80=40 (lost)
heyy could you help me out with this question I have been stuck in this question??
Answer:
true, false, true that is the answer I belive
URGENT!!! PLS GIVING BRAINLIEST!
A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 3 pounds of chocolate chps, the total cost is $16. For 6 pounds of walnuts
and 5 pounds of chocolate chips, the total cost is $34. Find the cost for each pound of walnuts and each pound of chocolate chips.
Answer:
1 lb of chips cost $3.50
1 lb of walnuts cost $2.75
Step-by-step explanation:
c = $ chips
w = $ walnuts
System of Equations:
2w + 3c = 16
6w + 5c = 34
I multiplied the first equation by -3 to eliminate the 'w' terms to get
c = 3.5
I substituted 3.5 for 'c' to get 2.75 for 'w'
Hurry, it’s a test!!! Plz!
Raj estimated the sum of 214.73 and 9.6 by rounding each number to the nearest whole.
What was Raj's estimate and what is the actual sum of the numbers?
Enter your answers in the boxes.
Raj estimated the sum to be [ ]
The actual sum is [ ]
Answer:
estimate 215 answer 10
Step-by-step explanation:
Type the expression that results from the following series of steps:
Start with
y
, subtract 7, divide by 3, then add 6.
Kate deposited $1350 into a bank account that earns 3% simple interest per year. What is the total amount in the account after 2 years?
Answer:810$
Step-by-step explanation:
?/1350=3/100
1350*3=4050
4050/100=405
405 per year times 2= 810$
For a year, a chef from a restaurant collected data about the cost of strawberries and cherries in his local food market. this data is summarized in the table below. based on the data collected, select all of the statements that are correct.
Answer:
A Strawberries generally cost less.
D If the chef pays $6.00 for a pound of fruit, it is most likely cherries.
Step-by-step explanation:
A and D
At Pizza Pi, 12% of the pizzas made last week had extra cheese. If 6 pizzas had extra cheese, how many pizzas in all were made last week?
Answer:
50? maybe
Step-by-step explanation:
since half of the percentage was made it would also fall in for the other 88%.
im not 100% sure tho
The total number of pizzas is given as 50.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The percent value of pizzas having extra cheese is given as 12%.
Suppose the pizzas made last week be x.
Then, as per the question the following equation can be written as,
⇒ 12% × x = 6
⇒ 12/100x = 6
⇒ x = 50
Hence, the number of pizzas that were made last week is given as 50.
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If corresponding angles are on parallel lines, then their measure is the same _____.
always
never
sometimes
Step-by-step explanation:
always .
plz mark my answer as brainlist.hope this will be helpful to you
Answer: Always
Step-by-step-sumsum:
Use the distributive property to find the equivalent expression.
3(2 + x) =__+__x
Answer:
6+3x
Step-by-step explanation:
multiply each term in the parentheses by the outer term.