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
Elena-2011 [213]
3 years ago
13

If the 9th term of an A.P is 0, prove that its 29th term is twice its 19th term

Mathematics
2 answers:
Ghella [55]3 years ago
6 0

Let the first term, common difference and number of terms of an AP are a, d and n respectively.

Given that, 9th term of an AP, T9 = 0 [∵ nth term of an AP, Tn = a + (n-1)d]

⇒ a + (9-1)d = 0

⇒ a + 8d = 0 ⇒ a = -8d ...(i)

Now, its 19th term , T19 = a + (19-1)d

= - 8d + 18d [from Eq.(i)]

= 10d ...(ii)

and its 29th term, T29 = a+(29-1)d

= -8d + 28d [from Eq.(i)]

= 20d = 2 × T19

Hence, its 29th term is twice its 19th term

Scilla [17]3 years ago
5 0

Answer:

Proved below.

Step-by-step explanation:

a9 = a1 + 8d = 0          where a1 = first term and d = common difference.

we need to prove that

a1 + 28d = 2(a1 + 18d

simplifying:-

a1  + 36d - 28d = 0

a1 + 8d = 0 which is what we are given.

Therefore  the proposition is true.

You might be interested in
Basic Cookie Recipe:
Levart [38]
XD really a co<span>okie recipe 

</span>
3 0
3 years ago
Sandra and her friend went to the candy store. Each of the purchased a bag of jelly beans. Sandra’s bag weighed 1.25 pounds. Her
SpyIntel [72]
Sandra because 1.25 is bigger than 1.05
3 0
3 years ago
Andrea and her friends love cake. Andrea has two cakes. Each of her friends will eat 2/3 of a cake. How many friends can Andrea
Yanka [14]

Answer:

3

Step-by-step explanation:

the answer is three friends can eat cake

6 0
3 years ago
Read 2 more answers
%to find the euclidean distance between two vectors, find the 2-norm of the difference of %those vectors. enter column vectors u
sergij07 [2.7K]

the norm of the distance is |d|=97.95 ft

the vector of the distance is d=96i+18j+27k

  • Vector : a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.
  • an organism, typically a biting insect or tick, that transmits a disease or parasite from one animal or plant to another.
  • Step-by-step explanation:
  • As per the attached image, the distance from the origin of the x y & z axis is where the vector starts and it ends at the opposite side of the room.
  • Calculating the norm as the square root of the sum of each side of the rooms squared & calculating the vector as each side of the room multiplied by the i, j & k axis, the results are as mentioned above.

       To learn more,

       Visit : brainly.com/question/13419770

       #SPJ4

8 0
2 years ago
Which one of the following expressions will find the sum of interior angles of a polygon with 14 sides?
cupoosta [38]
To find the total measure of the angles in a polygon, the formula is 180(n-2) n being the number of sides in the polygon.

So the correct answer is B) 180(14-2)
6 0
3 years ago
Other questions:
  • Margo wants a new carpet and a new wallpaper border for her bedroom. The room is 5.4 meters long and 4 7/8 meters wide. About ho
    8·2 answers
  • The sum of 19 and twice mai’s savings
    8·1 answer
  • What is the sum of 6 + -6 =
    14·2 answers
  • Which function is equivalent to y= -cot(x)?
    11·2 answers
  • PLEASE HELP , will reward brainliest
    14·1 answer
  • {2.5x−3y=−13<br> 3.25x−y=−14<br><br> how do i solve this
    15·2 answers
  • Put in order from least to greatest: -8,3,9,-1,-12
    10·1 answer
  • What is the equation of the line r in slope-intercept form?
    7·1 answer
  • 1.Pada sebuah transformator terdapat jumlah kumparan primer 1200 lilitan. Jika Tegangan Primernya 220 V, Tegangan Sekundernya 44
    11·1 answer
  • What is the y- intercept of the given graph​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!