What will be the first negative term in the sequence 87,84,81​

Answers

Answer 1

Answer:

a₃₁

Step-by-step explanation:

The terms have a common difference between consecutive terms, that is

d = 84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

To find when [tex]a_{n}[/tex] < 0 , solve

90 - 3n < 0 ( subtract 90 from both sides )

- 3n < - 90

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity, then

n > 30

Thus the 31st term will be the first negative term


Related Questions

6. Which is a not a true statement about the figures shown below?
this is do soon thx

Answers

A or D they’re the same

Answer:

a and d

Step-by-step explanation:both the same answers hope this helps

What is YZ?

Enter your answer as a decimal in the box.

Answers

Answer:

YZ = 12.2

Step-by-step explanation:

YZ bisects XW and VW, therefore it is half of XV

24.4/2 = 12.2

Corinna wants to make ⅔ of the recipe. Does she need more or less than 1 ¾ cups of sugar? Explain how you know. How many cups of sugar does she need?

Answers

I think it’s 4 3/8

find the value of given expression

[tex] \sqrt{252 - 27} [/tex]

Answers

Answer:

The answer is: 15

Step-by-step explanation:

......

At an amusement park 40%of the tickets were sold in the 1st hour if 800 tickets were sold in an hour how many tickets were sold in a day

Answers

Answer:

40% = 0.40

800 / 0.40 = 2000 total tickets were sold

Step-by-step explanation:

Find the volume of the cylinder find volume of a cylinder with the same radius and double the height what is the volume of the cylinder

Answers

80 but I am not for sure

Answer:

1004.8^3

Step-by-step explanation:

to find the volume you must first get the area of the base

3.14 x 8 squared or 8^2 which will equal 200.96

then you multiply the base times height

200.96^2 x 5 = 1004.8 cubed or 1004.8^3

also be careful you don't multiply 200.96 twice because it is squared (;

D Melissa takes the 10 30 from Christchurch. How long does she wait in Wellington? Hour minutes

Answers

Answer:

1:45 hours

Step-by-step explanation:

Given

See attachment for missing part of the question

Required

How long she waits in Wellington

From the question:

She takes the 10 30 from Christchurch

So:

[tex]Christchurch\ Depart = 10\ 30[/tex]

This implies that:

She has to wait until Wellington arrives at 11 15

So:

[tex]Wellington\ Arrives= 11\ 15[/tex]

So, the wait time is:

[tex]Wait\ time = Wellington\ Arrives - Christchurch\ depart[/tex]

[tex]Wait\ time = 11: 15 - 10: 30[/tex]

[tex]Wait\ time = 1:45\ hr[/tex]

Write the interval (1,8] as an inequality

Helppp please fast

Answers

Answer:

1 < n < 8

Step-by-step explanation:

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 140 centimeters in 35 seconds. What is the time in seconds the toy robot moves when the total distance is 70 centimeters?

Answers

Answer:

17.5 seconds

Step-by-step explanation:

140 cm/35 sec (find unit rate)

4 cm/ 1 second

[tex]\frac{4}{1} = \frac{70}{x}[/tex] (divide 70 by 4)

70/4=17.5

[tex]\frac{4}{1} = \frac{70}{17.5}[/tex]

Can anyone plz answer this question, i will give brainliest

Answers

Answer:

C.6

Step-by-step explanation:

Remember, a constant term is a term that keeps repeating. Also, it's the only term that doesn't contain a variable. In this equation, 6 is the constant.

Hope I helped!!!

Plz help and show me how to solve these questions

Answers

since -15/16 is a negative number, we can add both sides by 15/16 or subtract both sides by -15/16. Either way works.

p = 1/8 + 15/16

Use common denominator, which is 16:

p = 1(2)/8(2) + 15/16

p = 2/16 + 15/16

p = 17/16

17/16 is an improper fraction. If you want to use a mixed number for your answer, then:

17/16 becomes 1 1/16 (one and one-sixteenth, with 1 being a whole number and 1/16 being a fraction)

Answer: 17/16 or 1 1/16

What is the missing length?
20 cm
area = 580 cm

Answers

Answer:

580 / 20 = 29 cm = P

HELP ME OMG BEFORE I K.MS
If a line containing these points is plotted on a coordinate plane what should the graph look like (brainliest)

Answers

Answer: OPTION 3 i think sorry

and please dont kus

Step-by-step explanation:

Which expression is NOT equivalent to -3x - 1/2 + 4y?
A: 2y - 5x - 1/2 + 2y + 2x
B: -2x - 1/2 + 6y + 3x
C: -3x - 3/4 + 4y + 1/4
D: -3y - 3/4 + 7y + 1/4 - 3x

Answers

Answer:

-2x-1/2+6y+

Step-by-step explanation:

(10+12x)(15x+1) please help me

Answers

180x^2+162x+10


Please mark me brainless

find the value of x please :)

Answers

Answer:

48

Step-by-step explanation:

180-(90+42)

PLEASE HELP!
Find the sum of 12.4 and 372.6 using the correct number of significant digits.


A. 385

B. 385.0

C. 3850

D. 3850.0

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12.4+372.6=385

Find the measure of the angles and arcs

Answers

here have a good day

Answer:

multiple both of them and you get your answer

M∠QPS=88 ∘ m, angle, Q, P, S, equals, 88, degrees \qquad m \angle RPS = 5x + 34^\circm∠RPS=5x+34 ∘ m, angle, R, P, S, equals, 5, x, plus, 34, degrees \qquad m \angle QPR = 8x + 15^\circm∠QPR=8x+15 ∘

Answers

The correct question is:

[tex]\angle QPS=88[/tex]  

[tex]\angle RPS=5x+34[/tex]

[tex]\angle QPR=8x+15[/tex].

Find ∠QPR.

Answer:

[tex]\angle QPR = 39[/tex]

Step-by-step explanation:

From the attached figure:

[tex]QPS = QPR + RPS[/tex]

This gives:

[tex]88 = 8x + 15 + 5x + 34[/tex]

Collect like terms

[tex]88 - 15 - 34 = 8x + 5x[/tex]

[tex]39 = 13x[/tex]

Divide both sides by 13

[tex]3 = x[/tex]

[tex]x =3[/tex]

Substitute [tex]x =3[/tex] in [tex]\angle QPR=8x+15[/tex]  

[tex]\angle QPR = 8 * 3 + 15[/tex]

[tex]\angle QPR = 24 + 15[/tex]

[tex]\angle QPR = 39[/tex]

Answer:

The right answer is 49, I did it on khan academy

Step-by-step explanation:

Predict whether the product is greater than, less than, or equal to
2/3
. Then find the product.

2/3 × 1 3/5

Answers

1 10/18 simplify before putting the answer

can anyone solve this please asap​

Answers

Answer:

= 1.268

Step-by-step explanation:

= (3 + √3) (2 - √3)

= 6 - 3√3 + 2√3 - 3

= 3 - 3√3 + 2√3

= 3 - √3 (3 - 2)

= 3 - √3

= 3 - 1.732 ...... (√3 = 1.732)

= 1.268

Glven f(x) = x^2+ 2x - 1 and g(x) = 3x- 5; Determine f + g and f -9
F+g= F-g=

Answers

Answer:

Step-by-step explanation:

you can find videos on yt for that

Answer:

sorry, I'm not sure. you need a little more description though

Find u and v ....

I need help

Answers

U is up in top left v is in bottom left
U is on the top left have a good day

Hi can you help? It’s kinda easy I’m just confused

Answers

Answer: $6.7

Step-by-step explanation:

$6.24 - $12.94 = $6.7

solve each equation by factoring
[tex]8k^2-26k+20=0[/tex]
please show work!

Answers

Answer:

k=2 or 5/4

Step-by-step explanation:

8k^2-26k+20=0

2(4k²-13k+10)=0

(4k²-13k+10)=0/2

4k²-8k-5k+10=0

4k(k-2)-5(k-2)=0

(k-2)(4k-5)=0

either.

k=2

or

k=5/4

The product of , and the sum of a number and - 4 is less than or equal to 64.
What are all the possible values of the number? Show your work.

Answers

Answer:

6

Step-by-step explanation:


What does the discriminant determine?

Answers

It determines if the solution is equal, less than , or more than zero so if it’s equal you only have one solution but if it’s less than so it’s an imaginary graph that doesn’t have solution or more than means it has more than a solution

What is the equation of the bold line on the coordinate grid?
A) x = 3
B) y = 3
C) y = 3x
D) x + y= 3

Answers

.....the answer is y=3

a woman is three times as old as her daughter six years ago the sum of their ages was 36 find the age of the daughter​

Answers

Answer:

12 hope this helps

Step-by-step explanation:

A jeweler has several boxes of earrings to ship to a store. Each box is a cube with a side length of 5 centimeters. The jeweler packs the boxes in a shipping container. The filled container has 4 layers, where each layer contains 7 rows and 10 columns of boxes. What is the volume of the shipping container?

Answers

Answer: [tex]35,000\ cm^3[/tex]

Step-by-step explanation:

Given

The earring box has a volume of [tex]a=5\ cm[/tex]

It is packed and loaded in the container which has 4 layers and each layer has  7 rows and 10 columns

We can say that each layer can hold [tex]7\times 10=70\ \text{boxes}[/tex]

The volume of each earring box is

[tex]V_o=a^3=5^3\\V_o=125\ cm^3[/tex]

Four layers can hold [tex]4\times 70=280\ \text{boxes}[/tex]

the container can hold 280 boxes

[tex]\therefore \text{Volume of container is}\ V=280V_o\\\Rightarrow V=280\times 125=35000\ cm^3[/tex]

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