the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the sequence is 20. find the 6th term of the sequence

Answers

Answer 1

Answer:

54

Step-by-step explanation:

Tn = an²+bn

T2 = a2²+2b

2 = 4a +2b

Multiply all through by 2

4 = 8a +4b

4b = 4-8a

T4 = a4² + 4b

20 = 16a +4b

4b = 20-16a

4-8a = 20-16a

16a -8a = 20-4

8a = 16

a = 16/8 = 2

4b = 4-8a = 4-8(2) = 4-16 = -12

b = -12/4 = -3

T6 = a6² + 6b

T6 = 2(36) + 6(-3) = 72 -18 = 54

Answer 2

Answer:

54

Step-by-step explanation:


Related Questions

Resuelve la siguiente operación (3/4+1/2):(5/3+1/6)​

Answers

Answer: 0.6818182

Step-by-step explanation:

Answer:

fhduogherogi

Step-by-step explanation:

Express using algebra A increased by 50% and then decreased by 50% of that

Answers

Answer:

.5(1.5A)

Step-by-step explanation:

Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.

Answer:

.5(1.5A)

Step-by-step explanation:

Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.

The average age of students in a class is 8 years and 5 months. Express the age in seconds.​

Answers

Answer:

its like 4 yrs

Step-by-step explanation:

Answer:

265,248,000 seconds

Step-by-step explanation:

Assumptions are going to be made. No leap years so every year is 365 days, and each month is 30 days. 8x365+5x30=3070 days

24x60x60=86400 seconds in one day

Multiply those two together to get the answer.

An airport has two long-term parking lots. The cost to park, y, in each lot for x days is shown in the tables.

A system of linear equations can be used to determine on which day the cost to park is the same for both lots. One of the equations in the
system is y=6x. What is the other equation in the system?

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

Hey there,

For Lot A I found the slope to be 4/1. You can do this by picking two points and finding the change in y over the change in x, or you can just look at the graph and realize that to get from one y variable to the other you're adding 4 and to get from one x variable to the other you're adding one. That means it's equal to 4/1 which is the same thing as 4. We know that at 1 the cost is $16. The y-intercept has to be equal to 12, meaning that they started off with $12 and are gaining $4 every day.

I hope this helps :)

Please I need help ASAP

Answers

Answer:

It's 28!

Step-by-step explanation:

Answer:

28 in

Step-by-step explanation:

convert the whole thing to inches

5ft 8in = 68 in

8ft = 96 in

96-68 = 28 in

Steps to solve 5x +3 = 25x – 2

Answers

Answer: so you have to rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation. There are 3 possible answers x=1

                              x=6

                              x=0

I hope this helps if not I’m rlly sorry.

5x+3 = 25x-2
5x-25x = -2-3
-20x = -5
-20x/-20 = -5/-20
X = 1/4

determine the amount of an investment if $500 is invested at an interest rate of 4.25% compounded quarterly for 12 years

Answers

$830.41 is the answer xxxx

what are integra in algebra ​

Answers

Answer:

this is what i found for ya:3

Step-by-step explanation:

In mathematics, specifically abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. ... Noncommutative integral domains are sometimes admitted.

Answer:

That's the meaning of of integers in math and algebra: Whole numbers. No fractions allowed! Integers are counting numbers, and they include 0. ... In other words, integers can be negative, but they can't be fractional. Any number with a fraction – and that includes decimal fractions – is not an integer.

Step-by-step explanation:

Theresa has $708 in her account and wishes to throw a party. She plans to include the following:

Purchase
Cost ($)
Decorations
76.92
Catering
150.66
Musicians
242.15
Refreshments
123.36
Venue
260.47

When Theresa makes the calculations, she finds that she cannot afford everything that she would like to have. What is the cheapest aspect of the party that she can eliminate to keep from overdrawing her account?

Answers

Answer:

Get rid of catering with everything u are in debt by 145.56 so get rid of catering and u r good

Step-by-step explanation:

round 5/8 to the nearest whole number ​

Answers

The nearest whole number would be 1, because the fraction 5/8 to a decimal is 0.625.

Which line plot displays a data set with an outlier?

Answers

Answer:The third oneHope this helps!! ♥︎

Answer:

The third plot shows the outlier

Step-by-step explanation:

The other plots dots are closer together than the third image. Therefore making the image that has the outlier would be the third image represented

Which number is the same distance from 0 as −14?

Answers

Answer: 14

Step-by-step explanation:

0-14 is -14 0+14 is 14

The correct number which is the same distance from 0 as - 14 is,

⇒ d = 14

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

To find the same distance from 0 as −14.

Now, We can formulate;

The correct number which is the same distance from 0 as - 14 is,

⇒ d = | 0 - (- 14)|

⇒ d = 14

Thus, The correct number which is the same distance from 0 as - 14 is,

⇒ d = 14

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ3

find the lenght of ab

Answers

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

Explain the two ways we can find the slope from an equation written in STANDARD FORM. Which way is more convenient and WHY?

Answers

Answer: Derivative or y = mx + b

Step-by-step explanation:

Take the m value from the standard form equation:

y = mx + b

Or, the second way, is to take the derivative of the function and plug in your x value for your slope.

The derivative of a linear function is very easy to take, so it boils to preference

1. Show that
(10a + 5)^2 = 100a(a + 1) + 25,
for every a real number. How is this formula explaining the rule we have, to square a number
which ends in 5, such as
25^2 = 625, 35^3 = 1225, 105^2 = 11025^2, etc. ?

Answers

Answer:

 (10a+5)²= 100 a( a+1) + 25

Step-by-step explanation:

Explanation:-

Given

     (10a+5)²

By using (a+b)² = a² +2ab +b²

                   = (10a)²+ 2 × 10a× 5 + (5)²

                   = 100a² + 100a + 25

                   = 100 a( a+1) + 25

el resultado de 20+(-60)-40-20es​

Answers

Answer:

140 by the number like I know this

Step-by-step explanation:

I did the test

answer the question below, please

Answers

Answer:

AB = 42.30 m

Step-by-step explanation:

What we are asked to do is to simply find the length of AB.

Since both triangles are similar, therefore their corresponding sides would be proportional to each other.

Thus:

92/82.8 = 47/AB

Cross multiply

92*AB = 82.8*47

92*AB = 3,891.6

AB = 3,891.6/92

AB = 42.30 m(nearest hundredth)

15. 2002 Dünya Kupası Futbol Turnuvası'na katılacak Türkiye Milli Takımı'na destek olmak için taraftar gruplan asagidak
görsellerdeki gibi 2 farklı atkı modell tasarlıyor.
Kirmizi
Görsel 1
Kim
Beyaz
C*
120 cm
C
Kimizi
Beyaz
Görsel 2
120 cm
Görsel 1'deki atlanın uçlarındaki kırmızı bölgelerin toplam uzunluğu atkının uzunluğunun 'si olarak tasarlanmıştır.
5
Görsel 2'deki atkinin beyaz, diğer kısmı kırmızı renk olarak tasarlanmıştır.
2
Buna göre atkılardaki toplam kirmizi bölgelerin toplam uzunluğu kaç santimetredir?
108
D) 72
C) 60
D) 48
ARGON SERİSİ​

Answers

Answer:

d)

Step-by-step explanation:

İnşallah tutar iyi dersler Gold bye

Answer:

cevap 108 tamam sorun harika bir soru

What is the circumference of a circle if d = 7 feet? Use 3.14 for π


43.98 feet


18.85 feet


47.12 feet


21.98 feet

Answers

C=2pier.
C= (2)(3.14)(3.5). Radius is 1/2 of diameter
C= 21.98 feet

Translate the following phrases into mathematical statements.
r ) is less than or equal to ten.

s )is more than negative one

t ) isn't the same as negative
five.

x ) is at most negative three.

y )is never one.

Answers

Answer:

[tex]r \le 10[/tex]

[tex]s > -1[/tex]

[tex]t \ne 5[/tex]

[tex]x \le -3[/tex]

[tex]y \ne 1[/tex]

Step-by-step explanation:

Required

Translate to mathematical statements

a) r is less than or equal to ten.

less than or equal means [tex]\le[/tex]

So, the expression is:

[tex]r \le 10[/tex]

b) s is more than negative one

More than means >

So, the expression is:

[tex]s > -1[/tex]

c) t isn't the same as negative  five.

isn't the same means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]t \ne 5[/tex]

d) x is at most negative three.

At most means [tex]\le[/tex]

So, the expression is:

[tex]x \le -3[/tex]

e) y is never one.

is never means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]y \ne 1[/tex]

In the diagram, JK is congruent to GI. Solve for x if HJ = 3x, HK = 2x, KI = 6x, and JG = 18 units.

Answers

What’s the question what are you solving for

Whyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy me

I do not like school What is

9 times 9 times 9

Answers

Answer:

729

Step-by-step explanation:

9x9x9

Answer:

9*9*9 = 729

Step-by-step explanation:

This can also be expressed by 9^3 (Nine cubed)

9 times 9 is equal to 81. 81 times 9 is equal to 729

There you go!

PS: Give school a chance, I know it's hard during this special time, but once this fades away, you might enjoy it a bit more. :D

Задача
Из двух пунктов
одновременно навстречу
друг другу вышли два
человека. Один двигался со
скоростью 2,6 км/ч, а другой
Со скоростью 1,3 км/ч. Какое
расстояние они прошли
вместе, если встретились
через 2,1ч?. .
помогите пожалуйста ​

Answers

Answer:

Sorry. I can't answer your question because I can't understand that language. Can you put translate it in English?

Which statement is not true? Help ASAP! Thanks!!

Answers

Answer:

4 option...... .......

4 because it’s 4 lol so yea

Fill in the blanks in the double number-line below.

Answers

Answer:

1     2     3     4     5     6     7

8    16   24  32   40   48   56

Step-by-step explanation:

Hope this helps :)

24 28 52 hope it helps:)

find the area of given figure​

Answers

Answer:

hope it helped have a good day mate

Suppose your friends have the following ice cream preferences: 31% of your friends like chocolate (C). The remaining do not like chocolate. 15% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 5% of your friends like Chocolate (C) and also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate

Answers

Answer:

0.3333 = 33.33% of this group likes chocolate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Of the friends who like sprinkles, what proportion of this group likes chocolate:

So,

Event A: Likes sprinkles

Event B: Likes chocolate

15% of your friends like sprinkles (S) topping.

This means that [tex]P(A) = 0.15[/tex]

5% of your friends like Chocolate (C) and also like sprinkles (S).

This means that [tex]P(A \cap B) = 0.05[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.15} = 0.3333[/tex]

0.3333 = 33.33% of this group likes chocolate

Solve for y.

25 = y2

y =
or

Answers

Answer:

y=5 or y=−5 it does not matter either one

Step-by-step explanation:

25=y2

Step 1: Subtract y^2 from both sides.

25−y2=y2−y2

−y2+25=0

Step 2: Subtract 25 from both sides.

−y2+25−25=0−25

−y2=−25

Step 3: Divide both sides by -1.

−y2

−1

=

−25

−1

y2=25

Step 4: Take square root.

y=±√25

y=5 or y=−5

Answer:

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

25 =  [tex]y^{2}[/tex]

Step 1: Subtract y^2 from both sides.

25 − [tex]y^{2}[/tex] = [tex]y^{2}[/tex] − [tex]y^{2}[/tex]

−[tex]y^{2}[/tex]+ 25 = 0

Step 2: Subtract 25 from both sides.

−[tex]y^{2}[/tex]+ 25 − 25 = 0 − 25

−[tex]y^{2}[/tex] = − 25

Step 3: Divide both sides by -1.

[tex]y^{2}[/tex]  / −1  =  −25  / −1

[tex]y^{2}[/tex] =25

Step 4: Take square root.

y = ± √25

y = 5 or y = −5

Answer:

y = 5 or y = −5

Hope it helps

Please mark me as the brainliest

Thank you

complete inequality for a graph

Answers

What graph? What do you mean i mean where who?

good morning!

(+64) + (+31) =

Answers

Answer:

95

Step-by-step explanation:

Answer:

Good morning to you too:)

Step-by-step explanation:

the answer is 95

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