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
Ksivusya [100]
2 years ago
10

A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.​

Mathematics
1 answer:
gayaneshka [121]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , substitute values

S_{17} = \frac{17}{2} ( 2(- 8d) + 16d)

     = 8.5(- 16d + 16d)

     = 8.5 × 0

     = 0

You might be interested in
Convert: 150 oz = _____ lb _____ oz ​
yulyashka [42]

16 oz = 1 lb

Step-by-step explanation:

9.375 lb = 150 oz

          Answer:

    9.375 lb

    150 oz

its d or e

8 0
3 years ago
Read 2 more answers
What is the equation for the line of reflection that maps the trapezoid onto itself?
kvv77 [185]
The line that maps a figure onto itself is a line of symmetry of the figure.

From the given trapezoid, the line of symmetry of the trapezoid is x = -2.

Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.
6 0
3 years ago
Read 2 more answers
Help me pls pls pls pls
Alex Ar [27]

5 2/4 because 3 and 2 are 5 and 1/4 plus 1/2 make up 2/4 meaning its either 5 2/4 or 5 1/2

now i get brainly <3

6 0
3 years ago
Yesterday, 12 kids played Among Us and 8 kids did
marysya [2.9K]

Answer:

60%

Step-by-step explanation:

12 kids played. 8 didn't play. That means there is a total of 20 students.

The fraction would be 12/20.

To make it into a percent, divide 100 by the denominator (20) and multiply it by the numerator (12)

100 divided by 20 is 5

12 x 5 = 60

5 0
3 years ago
Hey please answer soon i need this done soon! 20points!!!
Zepler [3.9K]

Answer:

<h3>consistent independent</h3>

<h2>Explanation:-</h2><h3>The system of linear equations {3x−y=2y=3x+2 describes <em><u>consistent </u></em><em><u>independent </u></em><em><u>.</u></em></h3>

<h3>Hope it is helpful to you </h3><h3>stay safe healthy and happy ☺️</h3>

4 0
3 years ago
Other questions:
  • Stacy rolls a pair of six-sided fair dice.
    9·1 answer
  • Drag each equation to the correct location on the table.
    15·1 answer
  • Solve the system by substitution.<br> y = 4x + 3<br> y = 72
    11·1 answer
  • Which functions are symmetric with respect to the origin?
    10·1 answer
  • The sum of a number n and 9 is greater than 20.
    15·1 answer
  • 230,000,000,000 im scientific notation
    10·2 answers
  • What is 205÷5 please help!​
    7·1 answer
  • Please help please<br> A.68<br> B.39<br> C.73<br> D.107
    6·1 answer
  • Enter a range of values for x.
    6·2 answers
  • Rosa's family wants to switch cell phone plans. Cloud Line Cell Service is offering a one-time discount of $25 for families that
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!