The nth term of the sequence is n^2 + 20
How many terms in the sequence are less than 50
plss help!!

Answers

Answer 1

Answer: 5 terms.

Step-by-step explanation:

We know that the n-th term of a sequence is:

Aₙ = n² + 20

Where n can be any natural number, then n ∈ {1, 2, 3, ...}

We want to find how many terms are smaller than 50.

Then we could find the first value of n such that Aₙ is equal or larger than 50.

Then we can solve:

Aₙ = n² + 20 = 50

then:

n² = 50 - 20 = 30

n = √30 = 5.48

This is not a natural number, so we need to round to the next one that is n = 6

This means that the first natural number n such that Aₙ is equal or larger than 50 is n = 6, then for the values:

n = 1, 2, 3, 4, 5

Aₙ is smaller than 50

This means that there are 5 terms of the sequence that are smaller than 50.


Related Questions

plss help me i really need help plsss my school is amost done so plss help me

Answers

Answer:

cant really help since I cant draw it out, just count the numbers, for example if its (5,4) start from the middle and go 5 pointa to the right and 4 points up and mark it, if its (-5. -4) go 5 points left and 4 points down

round 8.41315 correct to 2 decimal places

Answers

Answer:

8.41

Step-by-step explanation:

i think

A spinner with sections Red, Blue, Yellow, and Green is spun 3 times. What is the probability that it will land on yellow all 3 times?

Answers

Answer: 1/64

Step-by-step explanation:

1/4 to land on Yellow

We do it 3 times

1/4 x 1/4 x 1/4 = 1 /64 =0.015625

ANSWER FAST PLEASE

Which of the following is not an example of a Mixed Number?
A. 5 1/4
B. -3.85
C. 16/8
D. 27 2/3

Answers

Answer:16/8

Step-by-step explanation:

Factor the expression.

7x+42

Answers

Answer:

7(x+6)

Step-by-step explanation:

hope it helps :)

Here is the step by step explanation:
Hope this helps
Leave a like and brainliest!

NEED HELP ASAP
The floor area of a rectangular room is represented by x2 + 3xy – 10y2. What could the length and width be?

Answers

Answer:

The length is x + 5y

The width is x - 2y

But see below.

Step-by-step explanation:

Remark

The point of this question is to factor the trinomial. It can be factored.

(x  5y)(x  2y )

has to be the beginning of the factoring process.

(x - 5y)(x + 2y) The signs are right. The factoring isn't. The middle term has to be plus.

(x + 5y)(x - 2y)

The length is x + 5y

The width is x - 2y

x must be larger than 2y, otherwise you will get a negative width. That  cannot be right.

ok whoever helps me is da best so plz :) 50 points

Answers

Answer:

A(-2/3)

B(-1/6)

C(1/2)

D(4/3)

Step-by-step explanation:

There are 6 tics in each section.

That means each tic is 1/6

A(-4/6) -> (-2/3)

B(-1/6)

C(3/6) -> (1/2)

D(8/6) -> (4/3)

Solve the system of equations:

[tex]y = 2x[/tex]
[tex]x + y = 9[/tex]
1. (6, 3)
2. (-3, -6)
3. no solution
4. (3, 6)​

Answers

Answer:

[tex]x + y = 9 \\ x + 2x = 9 \\ 3x = 9 \\ x = \frac{9}{3} \\ x = 3[/tex]

The answer is y= 3 (:

Work out
(43×8) - (234÷6)

Answers

Answer:

305

Step-by-step explanation:

43*8=344

234/6=39

344-39=305

Since the equation is [tex](43\times 8) - (234\div 6)[/tex] so after solving it, the answer is to be considered as the 305.

Calculation of the equation:

Since the equation is [tex](43\times 8) - (234\div 6)[/tex]

So,

we have to solve it

= 344 - 39

= 305

Hence, Since the equation is [tex](43\times 8) - (234\div 6)[/tex] so after solving it, the answer is to be considered as the 305.

Learn more about an equation here; https://brainly.com/question/17165976

Solve for x: 2 over 3 (x − 2) = 4x. (1 point)

negative 2 over 5
negative 5 over 2
2 over 5
5

Answers

Not sure what do with the other numbers? Like the -2/5
Maybe put them instead of the 2/3?
2/3(x-2)=4x
2(x-2)/3 = 4x
2x-4/3 = 4x
2x-4/3 - 4x = 4x - 4x
2x - 4 / 3 - 4x = 0
3 ( 2x - 4 / 3 - 4x ) = 3 * 0
-10x - 4 = 0
- 10 - 4 + 4 =0 + 4
-10x = 4
-10x/-10 = 4/-10
x = -2/5

negative 2 over 5

A teacher is planning a class trip to the aquarium. The aquarium requires 2
chaperones for every 15 students. The teacher plans accordingly and orders a
total of 85 tickets. How many tickets are for chaperones, and how many are for
students? Use the table to help you solve.
Use a table.
(Fill rows as needed.)
kids
chaperones
total
15
2
17

Answers

Answer:

The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, ...

Step-by-step explanation:

Kurt recorded the amount of rainfall in each month for one
year. What was the total rainfall that year?

Answers

Answer:

Step-by-step explanation:

G

The price of the shirt is 40$ the sales tax is 8%
how much will he pay in taxes for the shirt
A. 8.00
B. 3.20
C.48.00
D. 5.20

Answers

Answer:

40*.08=3.2

$3.2

Answer:

B

Step-by-step explanation:

40 times 0.08%= 3.20

there are 30 blue cubes in the box what is the total number of cubes in the box

Answers

Answer:

30 cubes

Step-by-step explanation:

There is no evedence of other cubes

Can someone please help its asking for solution to the system of linear equations ?

Answers

Answer:

there are not solutions because they never cross each other

A rectangular playground has a width of 54 feet and a length of 81 feet. Martina makes a scale model of the playground using a scale of 1 in:3 ft.

What are the dimensions of Martina’s scale model?

Answers

Answer:

72 and 108

Step-by-step explanation:

540/30= 18 *4 = 72

and

810/30= 27*4=108

Question 10
For a polygon with 10 sides, which equation below represents the sum of the interior angles in the polygon?
O sum = (180)(8) = 1440°
O sum = (360)(8) = 2880°
o sum = (360)(10) = 3600°
Osum = (180)(10) = 1800°

Answers

Answer:

I got sum = (180)(8) = 1440°

Step-by-step explanation:

Simplify the following:
a) 49 x 43
b) 69 x 62
c) 88 = 8
d) 78 - 76
I’ll give brainliest

Answers

Answer:

a) 2107

b) 4278

c)false equation but gessing its a + IT IS 96 or a - =80

d) 2

Step-by-step explanation:

a) 2107   b) 4278 c)  i dont think anything can be done with this  d)2 hope this helps,

Plz help due tomorrow if correct ill give Brainlyest

Answers

Answer:

(2/3*6a) + (2/3*9) = 20.4

a=3.6

Step-by-step explanation:

(2/3•21.6)(2/3•9)=86.4

This is my question, if you can solve this in under 2 minutes you are skilled!

Answers

Answer:

they both ate the same amount

Step-by-step explanation:

tito

1/4+3/8+1/2= 1 1/8

luis

5/8 + 1/2= 1 1/8

Which of the following conjectures is true for all cases about the lines in the image shown?

Answers

the answer is either a or c

Help? Please? Thank you!

Answers

Answer:

independent: miles

dependent: minutes/hours

Step-by-step explanation:

can I see the other options for the rest?

Please help and I please don't answer just for the points I'll report you

Answers

Answer:

x=1

y=1

Step-by-step explanation:

y=x^2-x+1        1. Write out the equation

y=y^2-y+1        2. Substitute the "x"s for "y"s

0=y^2-2y+1      3. Subtract "y" from both sides of the equation

0=(y-1)(y-1)        4. Factor into a binomial

y-1=0

y=1

x=1


[tex] \sqrt{64} } [/tex]

Answers

Answer:

8 is your answer ^_^

Step-by-step explanation:

What's the area and the perimeter of rectangle ABDC shown in the coordinate plane?
Question 2 options:

A)

Area = 32 square units; perimeter = 24 units

B)

Area = 24 units; perimeter = 32 square units

C)

Area = 24 square units; perimeter = 32 units

D)

Area = 32 units; perimeter = 24 square units

Answers

B. The perimeter is 24 units and the area is 32 square units.

Which ordered pair is a solution. There can be more than one.

Answers

Answer:

c (-2, -4)  & d(-1 , 1)

Step-by-step explanation:

The ordered pair that are lying inside the shaded region will be the solution.

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Oy- (11
y (11)
(18)(5)
oy-
5
11
2 y = (1865

Answers

Answer:

y = 18/5(11)

Step-by-step explanation:

If y varies directly as x, this is expressed as;

y∝x

y = kx

k is the constant of proportional constant

if y = 18 and x = 5

18 = 5k

k = 18/5

to get the expression that can be used to find the value of y when x is 11

y = kx

y = 18/5(11)

This gives the required expression

a jewellery shop is having a sale
a bracelet is now reduced to 420 pounds
this is 70% of the original price
A) workout the original price of the bracelet

a ring is now reduced to 840 pounds
this is a saving of 40% of the original price
b) workout the original price of the ring

Answers

Answer:

a) £600

b) £1400

Step-by-step explanation:

a)

original price = x

reduced price = £420

reduced price is 70% of original price

Since the discounted price, £420, is 70% of the original price, x, then

70% of x = 420

0.7x = 420

x = 420/0.7

x = 600

Answer: £600

b)

original price = x

discounted price = £840

discount percentage = 40%

The original price is x, and x is 100% of the original price since 100% is the whole amount. The discount is 40% of the original price. 100% - 40% = 60%. That means the discounted price is 60% of the original price.

60% of x = 840

0.6x = 840

x = 840/0.6

x = 1400

Answer: £1400

Work out the length x.
4.5 cm
11 cm

Answers

Answer:

12.3

Step-by-step explanation:

A^2 + B^2 = C^2

11^2 + 4.5^2 = C^2

132 + 20.25 = C^2

152.25 = C^2

Square root of 152.25 = 12.3

find the value of x ?

Answers

Answer:x=33.6

Step-by-step explanation:

You would set up the equation 6/5 = x/28 Then you would cross multiply 6•28 then divide by 5

Answer:

Answer:33.6

Step-by-step explanation:

I just know it.

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