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
guajiro [1.7K]
2 years ago
7

Find the term indicated in the expansion. (x - 3y)11; 8th term

Mathematics
2 answers:
Alja [10]2 years ago
8 0
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11,  k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
 =( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1  )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
 
aleksandrvk [35]2 years ago
6 0

Answer:

8th term = -721710x⁴y⁷

Step-by-step explanation:

Given Binomial is (x - 3y)¹¹

To find the particular term from expansion of binomial, The (a + 1)th  term of the binomial expansion of (x + y)ⁿ is:

(a + 1)th term = ⁿCₐ xⁿ⁻ᵃ yᵃ

We need to find 8th term.

So, a+1 = 8

a = 8-1 = 7th term

8th term = ¹¹C₇ x¹¹⁻⁷ (-3y)⁷

8th term = 330x⁴(-3)⁷y⁷

8th term = -721710x⁴y⁷

That's the final answer.

You might be interested in
Write an explicit formula for the arithmetic sequence whose common difference is -18
drek231 [11]

Let the first term be a(0).  Then the formula for a(n) is a(0)-18(n-1).

Check:  What's the first term?  Let n = 1:  a(1) = a(0)-18(1-1) = a(0) (correct)

What's the second term?    Let -n =2:  a(2) = a(0)-18(2-1) = a(0) - 18

and so on.

7 0
2 years ago
Read 2 more answers
Find the number by which 4732 should be divided to get perfect square.
ElenaW [278]

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169    

     13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.

8 0
3 years ago
The sum of an infinite geometric series is 1,280, while the first term of the series is 160. What is the common ratio of the ser
Arlecino [84]
The sum is 160/(1-r)=1280 where r is the common ratio,
1/(1-r)=1280/160=8
Inverting we get 1-r=1/8, r=7/8.
7 0
3 years ago
Why should "for deposit only" be written on a check along with the bank account number when it is endorsed?
Inga [223]
In case it is lost, it will not be able to be cashed except to be deposited into your account.
4 0
2 years ago
Read 2 more answers
What is 15.37×5 show work
just olya [345]
This should be quite easy to explain. So the first thing you want to do is multiply them. This isn't to hard if you know your times tables. Don't worry about the decimal till the end.

 15.37
×      5
---------
 76.85

15.37 times 5 is 76.85

Now on to the decimal. All you need to do is move it two times to the left. You see how it's in between the 5 and 3? The same goes for your answer. So it is 76.85 

I hope this helped!! ^^ I can make this a little more easier to explain if you want me to just in case, ok? 
3 0
2 years ago
Read 2 more answers
Other questions:
  • Three consecutive integers have a sum of 114. what are the three integers
    15·2 answers
  • Can someone please answer this question? Btw the picture is upside down(I dont know why it is)
    5·1 answer
  • Joe needs to put 3 1/2 gallons of chicken soup in quart containers .
    14·2 answers
  • A wooden sign in the shape of a right traingle has perpendicular sides measuring 1.5 m and 1.2 m. How much surface area does the
    7·1 answer
  • Ava has $9 to spent on cards. She finds friends with the same amount of money to split the cost of a set. One set costs $27. Eac
    11·1 answer
  • Write down the converse and contrapositive. If 2 divides x, then x is an even number. Hint call this (p?q)
    10·1 answer
  • Solve for x. <br> x/9 = -5
    15·2 answers
  • How do you Simplify -(1 - x)+3
    13·1 answer
  • Help me with these 2 questions please
    12·1 answer
  • Sam had 8819 grams of salt. He mixed 1715 grams of salt into a pot of soup he was cooking. Before serving the soup, he added 115
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!