1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slega [8]
3 years ago
14

Please help me in this questions....​

Mathematics
1 answer:
Ivahew [28]3 years ago
4 0

Part (i)

I'm going to use the notation T(n) instead of T_n

To find the first term, we plug in n = 1

T(n) = 2 - 3n

T(1) = 2 - 3(1)

T(1) = -1

The first term is -1

Repeat for n = 2 to find the second term

T(n) = 2 - 3n

T(2) = 2 - 3(2)

T(2) = -4

The second term is -4

<h3>Answers: -1, -4</h3>

==============================================

Part (ii)

Plug in T(n) = -61 and solve for n

T(n) = 2 - 3n

-61 = 2 - 3n

-61-2 = -3n

-63 = -3n

-3n = -63

n = -63/(-3)

n = 21

Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).

<h3>Answer:  21st term</h3>

===============================================

Part (iii)

We're given that T(n) = 2 - 3n

Let's compute T(2n). We do so by replacing every copy of n with 2n like so

T(n) = 2 - 3n

T(2n) = 2 - 3(2n)

T(2n) = 2 - 6n

Now subtract T(2n) from T(n)

T(n) - T(2n) = (2-3n) - (2-6n)

T(n) - T(2n) = 2-3n - 2+6n

T(n) - T(2n) = 3n

Then set this equal to 24 and solve for n

T(n) - T(2n) = 24

3n = 24

n = 24/3

n = 8

This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.

<h3>Answer: 8</h3>
You might be interested in
Trent buys a playground slide priced at $583. If the sales tax is 5%, how much tax will
Nezavi [6.7K]
116.6 should be the answer
5 0
2 years ago
1. Write an equation that is equivalent to 5x - 3y = 15
Novay_Z [31]

Answer:

10x - 6y = 30

Step-by-step explanation:

7 0
3 years ago
Which Expression is a factor of 16a2 − 25
kipiarov [429]

Answer:

should be (4a-5)x(4a+5)

Step-by-step explanation:

5 0
2 years ago
Kelley writes the expression n 2 to model the phrase "xander studied two more hours than nandini." which best explains the accur
asambeis [7]

It is accurate. In the phrase “two more hours than Nandini,” n + 2 are correct translations. Then the correct option is A.

<h3>What is Algebra?</h3>

Algebra is used to analyze mathematical symbols, and logic is used to manipulate those symbols.

As an example, Kelley models the sentence "Xander studied two more hours than Nandini" using the equation n + 2.

Consequently, the following will describe Kelley's expression's accuracy the best:

It is precise. Since "two" is translated as "2," "more" as "+," and "Nandini's study time is unknown or "n," 2 + n or n + 2 are the appropriate translations for the sentence "two more hours than Nandini."

So, option A is the best choice.

To know more about Algebra visit:

brainly.com/question/3624808

#SPJ4

I understand that the question you are looking for is :

Kelley writes the expression n + 2 to model the phrase “Xander studied two more hours than Nandini.” Which best explains the accuracy of Kelley’s expression?

It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n or n + 2 are correct translations.

It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n is the correct translation.

It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “>,” and Nandini’s study time is unknown or “n,” so 2 greater-than n is the correct translation.

It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “<,” and Nandini’s study time is unknown or “n,” so 2 less-than n is the correct translation.

5 0
2 years ago
20 POINTS HELP Over time, the value of the property at 397 West Lake Street increased by 275%. If the initial value of the prope
Arlecino [84]

Answer: A is your answer.

6 0
3 years ago
Other questions:
  • Solve the equation. 24 = 2x – 9
    9·2 answers
  • What is 16.91 with a discount of 18%
    7·2 answers
  • Does anything multiply to -177 and add to 0?
    10·1 answer
  • 3.10354 as a fraction
    9·1 answer
  • Kayla wants to find the width, AB, of a river. She walks along the edge of the river 90 ft and marks point C. Then she walks 72
    8·1 answer
  • Could someone pls help pls ASAP!!!it’s due by tonight pls helppp
    14·1 answer
  • A bicyclist is in the exact middle of a straight trail that has endpoints at coordinates (11, 2) and (13, 5)on a map. Each unit
    7·1 answer
  • Casey's dog weighs 56.2 pounds. Janelle's dog weighs 22.65 pounds.
    6·2 answers
  • Th= 7 units X = 7 units Y = 4 units, and Z = 20 units, what is the volume of the triangular prism shown above?
    7·1 answer
  • Find the surface area of a square pyramid with side length 6 cm and slant height 5<br> cm.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!